BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Xiao-Gang Wen/文小刚 (MIT)
DTSTART:20201227T013000Z
DTEND:20201227T023000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/1
DESCRIPTION:Title: Algebraic higher symmetry and local higher fusion category: symmetry as a
shadow of topological order\nby Xiao-Gang Wen/文小刚 (MIT) as part
of ICCM 2020\n\n\nAbstract\nI will discuss a most general form of symmetr
y --algebraic higher symmetry\, which include symmetry described by group
and higher group. Algebraic higher symmetry\, in its most general form\, i
s beyond group and higher group. It is described by local higher fusion ca
tegory. I also discuss a holographic point of view for symmetry: symmetry
is a shadow of topological order in one higher dimension (ie a fusion high
er category with trivial center).\n
LOCATION:https://researchseminars.org/talk/iccm2020/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Si Li/李思 (Tsinghua University)
DTSTART:20201227T030000Z
DTEND:20201227T040000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/2
DESCRIPTION:Title: Configuration space integrals and index theory\nby Si Li/李思 (Tsin
ghua University) as part of ICCM 2020\n\n\nAbstract\nWe explain a geometri
c formulation of the low energy effective theory of sigma models in terms
of bundles of factorization algebras. Appropriate regularization for Integ
rals over configuration spaces arises naturally from quantum field theorie
s and will in general give rise to index type theories. As a case study in
dimension two\, we introduce a geometric renormalization method for re
gularized integrals over configuration spaces of Riemann surfaces in 2d ch
iral quantum field theory. It provides a mathematical tool to formulate c
orrelation functions of non-local operators in a chiral CFT that will lead
to an algebraic analogue of elliptic index theory.\n
LOCATION:https://researchseminars.org/talk/iccm2020/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sijue Wu/邬思珏 (University of Michigan)
DTSTART:20201227T030000Z
DTEND:20201227T040000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/3
DESCRIPTION:Title: The Quartic Integrability and Long Time Existence of Steep Water Waves in
2d\nby Sijue Wu/邬思珏 (University of Michigan) as part of ICCM 20
20\n\n\nAbstract\nIt is known since the work of Dyachenko & Zakharov in 19
94 that for the weakly nonlinear 2d infinite depth water waves\, there are
no 3-wave interactions and all of the 4-wave interaction coefficients van
ish on the resonant manifold. In this talk I will present a recent result
that proves this partial integrability from a different angle. We construc
t a sequence of energy functionals Ej (t)\, directly in the physical space
\, that involves material derivatives of order j of the solutions for the
2d water wave equation\, so that d dtEj (t) is quintic or higher order. We
show that if some scaling invariant norm\, and a norm involving one speci
al derivative above the scaling of the initial data are of size no more th
an ε\, then the lifespan of the solution for the 2d water wave equation i
s at least of order O(ε−3 )\, and the solution remains as regular as th
e initial data during this time. If only the scaling invariant norm of the
data is of size ε\, then the lifespan of the solution is at least of ord
er O(ε−5/2 ). Our long time existence results do not impose size restri
ctions on the slope of the initial interface and the magnitude of the init
ial velocity\, they allow the interface to have arbitrary large steepnesse
s and initial velocities to have arbitrary large magnitudes.\n
LOCATION:https://researchseminars.org/talk/iccm2020/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jinxin Xue/薛金鑫 (Tsinghua University)
DTSTART:20201227T030000Z
DTEND:20201227T040000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/4
DESCRIPTION:Title: Arnold diffusion in geodesic dynamics of blackholes\nby Jinxin Xue/
薛金鑫 (Tsinghua University) as part of ICCM 2020\n\n\nAbstract\nWe con
sider the geodesics dynamics of a particle moving in a blackhole backgroun
d that is a small perturbation of Schwarzschild and Kerr. We show that the
re are some remarkable chaotic dynamical behaviors including Arnold diffus
ion\, oscillatory motions and chaotic carrousel motions around the event h
orizon. We also explain the implication of KAM in this setting\, related t
o two observable phenomena: photon ring and QPO.\n
LOCATION:https://researchseminars.org/talk/iccm2020/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xiangdong Ye/叶向东 (USTC)
DTSTART:20201227T060000Z
DTEND:20201227T070000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/5
DESCRIPTION:Title: Nilpotent structures in dynamical systems\nby Xiangdong Ye/叶向东
(USTC) as part of ICCM 2020\n\n\nAbstract\nTopological dynamics and ergodi
c theory are two branches of dynamical systems. They are closely related a
nd have applications in other fields of mathematics. In this talk I will e
xplain why nilpotent structures arise naturally in the study of dynamical
systems and how they are related to combinatorial number theory."\n
LOCATION:https://researchseminars.org/talk/iccm2020/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Qingyuan Jiang/姜清元 (University of Edinburgh)
DTSTART:20201227T060000Z
DTEND:20201227T070000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/6
DESCRIPTION:Title: Derived categories and Chow theory of Quot-schemes of Grassmannian type\nby Qingyuan Jiang/姜清元 (University of Edinburgh) as part of ICCM
2020\n\n\nAbstract\nQuot-schemes of Grassmannian type naturally arise as r
esolutions of degeneracy loci of maps between vector bundles over a scheme
. In this talk we will talk about the recent results on the relationships
of the derived categories and Chow groups among these Quot-Schemes. This f
ramework provides a unified way to understand many known formulae such as
blowup formula\, Cayley's trick\, projectivization formula and formula for
Grassmannain type flops and flips\, as well as provide new phenomena such
as virtual flips. We will also discuss applications to the study of modul
i of linear series on curves\, blowup of determinantal ideals\, generalise
d nested Hilbert schemes of points on surfaces\, and Brill--Noether proble
m for moduli of stable objects in K3 categories.\n
LOCATION:https://researchseminars.org/talk/iccm2020/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Qiu Yu/邱宇 (Tsinghua University)
DTSTART:20201227T060000Z
DTEND:20201227T070000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/7
DESCRIPTION:Title: Cluster exchange groupoids and framed quadratic differentials\nby Qiu
Yu/邱宇 (Tsinghua University) as part of ICCM 2020\n\n\nAbstract\nWe in
troduce the cluster exchange groupoids to show that any connected componen
t (which are all isomorphic) of the moduli space of framed quadratic diffe
rentials on a decorated marked surface S_Delta is simply connected. We als
o improve the result of Bridgeland-Smith\, that such a space can be identi
fied with the principal component of the space of stability conditions on
the associated Calabi-Yau-3 categories of S_Delta. If time permits\, we wi
ll discuss q-deformations on Calabi-Ya categories\, stability conditions a
nd quadratic differentials.\n
LOCATION:https://researchseminars.org/talk/iccm2020/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ziming Ma/馬梓銘 (The Chinese University of Hong Kong)
DTSTART:20201227T071500Z
DTEND:20201227T081500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/8
DESCRIPTION:Title: The geometry of Maurer-Cartan equation near degenerate Calabi-Yau varieti
es\nby Ziming Ma/馬梓銘 (The Chinese University of Hong Kong) as pa
rt of ICCM 2020\n\n\nAbstract\nIn this talk\, we construct a dgBV algebra
PV(X) associated to a possibly degenerate Calabi- Yau variety X equipped w
ith local thickening data. This gives a version of the Kodaira-Spencer dgL
a which is applicable to degenerated spaces including both log smooth or m
aximally degenerated Calabi-Yau. We use this to prove an unobstructedness
result about the smoothing of degenerated Log Calabi-Yau varieties X satis
fying Hodge-deRham degeneracy property for cohomology of X\, in the spirit
of kontsevich-katzarkov-pantev. If time permitted\, I will describe const
ruction of certain class of mirror vector bundles from Lagrangian multi se
ctions using deformation of pairs. This is based on joint works with Kwokw
ai Chan\, Naichung Conan Leung and Yat-Hin Suen.\n
LOCATION:https://researchseminars.org/talk/iccm2020/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bing Wang/王兵 (USTC)
DTSTART:20201227T071500Z
DTEND:20201227T081500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/9
DESCRIPTION:Title: The local entropy along Ricci flow\nby Bing Wang/王兵 (USTC) as par
t of ICCM 2020\n\n\nAbstract\nWe localize the entropy functionals of G. Pe
relman and generalize his no-local-collapsing theorem and pseudo-locality
theorem. Our generalization is technically inspired by further development
of Li-Yau estimates along the Ricci flow. It has various applications\, i
ncluding to show the continuous dependence of the Ricci flow with respect
to the initial metric in Gromov-Hausdorff topology with Ricci curvature bo
unded below\, and to show the compactness of the moduli of Kähler manifol
ds with bounded scalar curvature and a rough locally almost Euclidean cond
ition.\n
LOCATION:https://researchseminars.org/talk/iccm2020/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kang Zuo/左康 (Universität Mainz)
DTSTART:20201227T071500Z
DTEND:20201227T081500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/10
DESCRIPTION:Title: Higgs Bundle in Geometry and Arithmetic A Proposal\nby Kang Zuo/左
康 (Universität Mainz) as part of ICCM 2020\n\n\nAbstract\nThe notion of
a Higgs bundle originated from the theory of elementary particles\, more
precisely from the notion of the Higgs boson (field) in particle physics.
The Yukawa coupling\, named after Hideki Yukawa\, is used in the Standard
Model in particle physics to describe the coupling between the Higgs boson
s\, a.k.a. the God particle\, and the quarks and leptons. A major developm
ent in complex nonabelian Hodge theory was made by Hitchin\, Donadlson\, U
hlenbeck-Yau and Simpson in the so-called Hitchin-DonaldsonUhlenbeck-Yau-S
impson correspondence\, a powerful tool in complex algebraic/analytic geom
etry. In this talk I will raise a proposal for exploring \, exploiting and
extending further our newly developed theories of Higgs bundles in algebr
aic and arithmetic geometry. We will focus principally on the following tw
o programs: • The Shafarevich Program: We work on moduli spaces of polar
ized varieties in our approach to (1) the Shafarevich conjecture on the fi
niteness of isomorphism classes of families of higher dimensional varietie
s and (2) a folklore conjecture on the bigness of the fundamental group of
moduli spaces. • p -adic Nonabelian Hodge Theory: We develop and explor
e further a theory of Higgs bundles on varieties over p-adic fields. Three
directions of applications are (1) to Faltings p-adic Simpson corresponde
nce and its relation to Scholze’s OBdR-functor\, (2) revisiting Grothend
ieck anabelian geometry via nonabelian Hodge-Tate comparison and (3) to th
e construction of motivic local systems over p-adic curves in connections
to Drinfeld’s work on the Langlands program via Abe’s solution of Deli
gne’s conjecture on p to ` companions. The proposal will therefore demon
strate that the concept of Higgs bundle in various generalized settings pl
ays a fundamental role in connecting different fields in algebraic geometr
y and topology via Yukawacoupling and in arithmetic geomety via p-adic Hig
gs de Rham flow\, a p-adic analogue of Yang-Mills-Higgs equation over the
archimadean field. Remarkably the both notions originally came from partic
le physics and String theory via Calabi-Yau manifolds. I have discussed wi
th Steven Lu\, Ruiran Sun and Jinbang Yang on various parts of the proposa
l. I thank them very much.\n
LOCATION:https://researchseminars.org/talk/iccm2020/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fan Qin/覃帆 (Shanghai Jiao Tong University)
DTSTART:20201227T083000Z
DTEND:20201227T091500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/11
DESCRIPTION:Title: Dual canonical bases and cluster algebras\nby Fan Qin/覃帆 (Shangh
ai Jiao Tong University) as part of ICCM 2020\n\n\nAbstract\nOne of Fomin
and Zelevinsky’s main motivations for cluster algebras was to study the
dual canonical bases. Correspondingly\, it had been long conjectured that
the quantum cluster monomials (certain monomials of generators) belong to
the dual canonical bases up to scalar multiples. In a geometric framework
for cluster algebras\, Fock and Goncharov expected that cluster algebras p
ossess bases with good tropical properties. In this talk\, we consider a l
arge class of quantum cluster algebras called injective-reachable (equival
ently\, there exists a green to red sequence). We study their tropical pro
perties. Then we introduce the (common) triangular basis\, which is a Kazh
dan-Lusztig type basis with good tropical properties. We verify the above
motivational conjecture in full generality.\n
LOCATION:https://researchseminars.org/talk/iccm2020/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Miaofen Chen/陈苗芬 (East China Normal University)
DTSTART:20201227T083000Z
DTEND:20201227T091500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/12
DESCRIPTION:Title: Fargues-Rapoport conjecture in the non-basic case\nby Miaofen Chen/
陈苗芬 (East China Normal University) as part of ICCM 2020\n\n\nAbstrac
t\nRapoport and Zink introduce the p-adic period domain (also called the a
dmissible locus) inside the rigid analytic p-adic flag varieties. Over the
admissible locus\, there exists a universal crystalline Qp-local system w
hich interpolates a family of crystalline representations. The weakly admi
ssible locus is an approximation of the admissible locus in the sense that
these two spaces have the same classical points. In a joint work with Far
gues and Shen\, we prove the Fargues-Rapoport conjecture for basic local S
himura datum which gives a group theoretic characterization when the admis
sible locus and the weakly admissible locus coincide. In this talk\, we wi
ll give a similiar criterion for non-basic local Shimura datum which gener
alizes the work of Hartl for GLn.\n
LOCATION:https://researchseminars.org/talk/iccm2020/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chen Jiang/江辰 (Shanghai Centre for Mathematical Sciences\, Fud
an)
DTSTART:20201227T083000Z
DTEND:20201227T091500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/13
DESCRIPTION:Title: Positivity in hyper kahler manifolds via Rozansky—Witten theory\nb
y Chen Jiang/江辰 (Shanghai Centre for Mathematical Sciences\, Fudan) as
part of ICCM 2020\n\n\nAbstract\nFor a hyperk\\"{a}hler manifold $X$ of d
imension $2n$\, Huybrechts showed that there are constants $a_0\, a_2\, \\
dots\, a_{2n}$ such that $$\\chi(L) =\\sum_{i=0}^n\\frac{a_{2i}}{(2i)!}q_X
(c_1(L))^{i}$$\n
LOCATION:https://researchseminars.org/talk/iccm2020/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wei Yuan/袁伟 (Sun Yat-sen University)
DTSTART:20201227T083000Z
DTEND:20201227T091500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/14
DESCRIPTION:Title: Volume comparison with respect to scalar curvature\nby Wei Yuan/袁
伟 (Sun Yat-sen University) as part of ICCM 2020\n\n\nAbstract\nIn Rieman
nian geometry\, volume comparison theorem is one of the most fundamental r
esults. The classic results concern volume comparison involving restrictio
ns on Ricci curvature. In this talk\, we will investigate the volume compa
rison with respect to scalar curvature. In particular\, we show that one c
an only expect such results for small geodesic balls of metrics near V-sta
tic metrics. As for closed manifolds\, we give a volume comparison theorem
for metrics near stable Einstein metrics. In particular\, it provides par
tially affirmative answers to both a conjecture of Schoen about hyperbolic
manifolds and a conjecture proposed by Bray concerning the positive scala
r curvature case respectively.\n
LOCATION:https://researchseminars.org/talk/iccm2020/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Guan Huang/黄冠 (Tsinghua University)
DTSTART:20201227T083000Z
DTEND:20201227T091500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/15
DESCRIPTION:Title: Recent progress in Birkhoff conjecture for strictly convex billiard tabl
es\nby Guan Huang/黄冠 (Tsinghua University) as part of ICCM 2020\n\
n\nAbstract\nThe famous Birkhoff conjecture claims that all the integrable
planar billiard systems are those induced by convex domains with an ellip
se or a circle as boundary. We will discuss the recent progress of Birkhof
f conjecture\, particularly\, the results obtained for nearly elliptic dom
ains. This talk is partially based on joint work with Kaloshin and Sorrent
ino.\n
LOCATION:https://researchseminars.org/talk/iccm2020/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hao Zheng/郑浩 (Shanghai Centre for Mathematical Sciences\, Fuda
n)
DTSTART:20201227T083000Z
DTEND:20201227T091500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/16
DESCRIPTION:Title: Categorical computation\nby Hao Zheng/郑浩 (Shanghai Centre for Ma
thematical Sciences\, Fudan) as part of ICCM 2020\n\n\nAbstract\nWe propos
e that topological quantum computation is a categorification of quantum co
mputation and present some mathematical results that are useful for realiz
ing categorical computation by topological materials.\n
LOCATION:https://researchseminars.org/talk/iccm2020/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jiajun Zhang/张家军 (SYSU)
DTSTART:20201227T083000Z
DTEND:20201227T091500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/17
DESCRIPTION:Title: Modelling and analysis of non-Markovian biochemical reaction networks\nby Jiajun Zhang/张家军 (SYSU) as part of ICCM 2020\n\n\nAbstract\nMo
deling intracellular processes has long relied on the Markovian assumption
. However\, as soon as a reactant interacts with its environment\, molecul
ar memory definitely exists and its effects cannot be neglected. Since the
Markov theory cannot translate directly to modeling and analysis of non-M
arkovian processes\, this leads to many significant challenges. We develop
a formulation\, namely the stationary generalized chemical-master equatio
n\, to model intracellular processes with molecular memory. This formulati
on converts a non-Markovian question to a Markovian one while keeping the
stationary probabilistic behavior unchanged. Both a stationary generalized
Fokker–Planck equation and a generalized linear noise approximation are
further developed for the fast evaluation of fluctuations. These formulat
ions can have broad applications and may help us discover new biological k
nowledge.\n
LOCATION:https://researchseminars.org/talk/iccm2020/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ke Deng/邓柯 (Center for Statistical Science\, Tsinghua Universi
ty)
DTSTART:20201227T083000Z
DTEND:20201227T091500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/18
DESCRIPTION:Title: Understanding Chinese Texts via Statistical Inference\nby Ke Deng/
邓柯 (Center for Statistical Science\, Tsinghua University) as part of I
CCM 2020\n\n\nAbstract\nWith the growing availability of digitized text da
ta both publicly and privately\, there is a great need for effective compu
tational tools to automatically extract information from texts. Because th
e Chinese language differs most significantly from alphabet-based language
s in not specifying word boundaries\, most existing Chinese text-mining me
thods require a prespecified vocabulary and/or a large relevant training c
orpus\, which may not be available in some applications. We proposed a fam
ily of statistical approaches that can achieve multiple NLP tasks\, such a
s word discovery\, name entity recognition\, word segementation\, semamtic
understanding and relation extraction\, simultaneously with little traini
ng information. These approaches are particularly useful for mining domain
-specific texts where the underlying vocabulary is unknown and/or the text
s of interest differ significantly from standard training corpora.\n
LOCATION:https://researchseminars.org/talk/iccm2020/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Guodong Zhou/周国栋 (East China Normal University)
DTSTART:20201227T091500Z
DTEND:20201227T100000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/19
DESCRIPTION:Title: Formal deformations and cohomology theory of Rota-Baxter algebras of any
weight\nby Guodong Zhou/周国栋 (East China Normal University) as p
art of ICCM 2020\n\n\nAbstract\nThis paper studies Rota-Baxter algebras of
any weight\, say\, associative algebras endowed with Rota-Baxter operator
s. We develop a cohomology theory for Rota-Baxter algebras of any weight a
nd justify it by interpreting lower degree cohomology groups as formal def
ormations and abelian extensions of Rota-Baxter algebras. We make explicit
the $L_\\infty$-algebra structure over the cochain complex defining cohom
ology groups and introduce the notion of homotopy Rota-Baxter algebras as
Maurer-Cartan elements of this $L_\\infty$-algebra.\n
LOCATION:https://researchseminars.org/talk/iccm2020/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ping Xi/郗平 (Xi'an Jiao Tong University)
DTSTART:20201227T091500Z
DTEND:20201227T100000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/20
DESCRIPTION:Title: Equidistribution of quadratic roots and applications to prime number the
ory\nby Ping Xi/郗平 (Xi'an Jiao Tong University) as part of ICCM 20
20\n\n\nAbstract\nGiven an irreducible quadratic polynomial of fixed discr
iminant\, the quadratic roots mod $m$ are expected to be equidistributed a
s $m$ runs over reasonable sets. We will give a short historical survey on
this topic\, as well as our recent progress on the case of friable moduli
. Moreover\, a reasonable equidistribution can also lead to non-trivial mu
ltiplicative structures in prime number theory\, and an application to a s
pecial case of Schinzel hypothesis will be discussed in this talk. The und
erlying tools will include Gauss’s correspondence in the theory of binar
y quadratic forms and arithmetic exponent pairs for trace functions develo
ped by Jie Wu and the speaker.\n
LOCATION:https://researchseminars.org/talk/iccm2020/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xin Lv/吕鑫 (East China Normal University)
DTSTART:20201227T091500Z
DTEND:20201227T100000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/21
DESCRIPTION:Title: The irregularity of trigonal fibrations\nby Xin Lv/吕鑫 (East Chin
a Normal University) as part of ICCM 2020\n\n\nAbstract\nLet $f: S \\to B$
be a non-trivial fibration of curves of genus $g$. Xiao conjectured an up
per bound of the relative irregularity $q_f$ in terms of the genus $g$. In
this talk\, we consider this problem for trigonal fibrations.\n
LOCATION:https://researchseminars.org/talk/iccm2020/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chao Xia/夏超 (Xiamen Uinversity)
DTSTART:20201227T091500Z
DTEND:20201227T100000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/22
DESCRIPTION:Title: A sharp lower bound for the first (nonzero) Steklov eigenvalue\nby C
hao Xia/夏超 (Xiamen Uinversity) as part of ICCM 2020\n\n\nAbstract\nEsc
obar has conjectured that for a compact manifold with boundary which has n
onnegative Ricci curvature and boundary principal curvatures bounded below
by 1\, the first (nonzero) Steklov eigenvalue is greater than or equal to
1，with equality holding only on a Euclidean ball. This conjecture is tr
ue in two dimensions due to Payne and Escobar. In this talk\, we present a
resolution to this conjecture in the case of nonnegative sectional curvat
ure in any dimensions. We will also give a sharp comparison result between
the first (nonzero) Steklov eigenvalue and the boundary first eigenvalue.
Our tool is a weighted Reilly type formula due to Qiu-Xia and a Pohozaev
type identity. The talk is based on a joint work with Changwei Xiong.\n
LOCATION:https://researchseminars.org/talk/iccm2020/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Huichun Zhang/张会春 (SYSU)
DTSTART:20201227T091500Z
DTEND:20201227T100000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/23
DESCRIPTION:Title: Some results on the Lipschitz Regularity of harmonic maps between singul
ar spaces\nby Huichun Zhang/张会春 (SYSU) as part of ICCM 2020\n\n\
nAbstract\nIn this talk\, we will introduce some results on the program ab
out the Lipschitz regularity and gradient estimates for harmonic maps from
/between the singular metric spaces with curvature bounded from below/abov
e in the sense of comparison triangles. This talk is based on some joint w
orks with Xi-Ping Zhu\, Xiao Zhong\, and Huabin Ge and Wenshuai Jiang.\n
LOCATION:https://researchseminars.org/talk/iccm2020/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Qin Li/李勤 (Southern University of Science and Technology)
DTSTART:20201227T091500Z
DTEND:20201227T100000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/24
DESCRIPTION:Title: Quantization of Kapranov $L_\\infty$ structure and Bargmann-Fock sheaves
on Kahler manifolds\nby Qin Li/李勤 (Southern University of Science
and Technology) as part of ICCM 2020\n\n\nAbstract\nIn this talk\, I will
introduce a quantization of Kapranov $L_\\infty$ structure on K\\"ahler m
anifolds\, which gives rise to a special class of solutions of Fedosov equ
ations. These solutions give rise to one-loop exact BV quantization using
Costello's theory of effective renormalization. By using these Fedosov co
nnections\, we will also construct a sheaf of modules over deformation qua
ntization algebra which we call Bargmann-Fock sheaves. This in particular
give rise to a representation of Berezin-Toeplitz quantization on Hilbert
spaces.\n
LOCATION:https://researchseminars.org/talk/iccm2020/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jinshan Zeng/曾锦山 (Jiangxi Normal University)
DTSTART:20201227T091500Z
DTEND:20201227T100000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/25
DESCRIPTION:Title: On ADMM in Deep Learning: Convergence and Saturation-Avoidance\nby J
inshan Zeng/曾锦山 (Jiangxi Normal University) as part of ICCM 2020\n\n
\nAbstract\nIn this talk\, we introduce an alternating direction method of
multipliers (ADMM) for deep neural networks training with sigmoid-type ac
tivation functions (called sigmoid-ADMM pair)\, mainly motivated by the gr
adient-free nature of ADMM in avoiding the saturation of sigmoid-type acti
vations and the advantages of deep neural networks with sigmoid-type activ
ations (called deep sigmoid nets) over their rectified linear unit (ReLU)
counterparts (called deep ReLU nets) in terms of approximation. In particu
lar\, we prove that the approximation capability of deep sigmoid nets is n
ot worse than deep ReLU nets by showing that ReLU activation fucntion can
be well approximated by deep sigmoid nets with two hidden layers and finit
ely many free parameters but not vice-verse. We also establish the global
convergence of the proposed ADMM for the nonlinearly constrained formulati
on of the deep sigmoid nets training to a Karush-Kuhn-Tucker (KKT) point a
t a rate of order O(1/k). Compared with the widely used stochastic gradien
t descent (SGD) algorithm for the deep ReLU nets training (called ReLU-SGD
pair)\, the proposed sigmoid-ADMM pair is practically stable with respect
to the algorithmic hyperparameters including the learning rate\, initial
schemes and the pro-processing of the input data. Moreover\, we find that
to approximate and learn simple but important functions the proposed sigmo
id-ADMM pair numerically outperforms the ReLU-SGD pair.\n
LOCATION:https://researchseminars.org/talk/iccm2020/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jianping Jiang/姜建平
DTSTART:20201227T091500Z
DTEND:20201227T100000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/26
DESCRIPTION:Title: The high dimensional Ising model with free boundary conditions\nby J
ianping Jiang/姜建平 as part of ICCM 2020\n\n\nAbstract\nWe study the c
ritical Ising model with free boundary conditions on finite domains in $\\
mathbb{Z}^d$ with $d\\geq4$. Under the assumption\, so far only proved com
pletely for high $d$\, that the critical infinite volume two-point functio
n is of order $|x-y|^{-(d-2)}$ for large $|x-y|$\, we prove the same is va
lid on large finite cubes with free boundary conditions\, as long as $x\,
y$ are not too close to the boundary. We also prove that the scaling limit
of the near-critical (small external field) Ising magnetization field wit
h free boundary conditions is Gaussian with the same covariance as the cri
tical scaling limit\, and thus the correlations do not decay exponentially
. This is very different from the situation in low $d$ or the expected beh
avior in high $d$ with bulk boundary conditions. This is joint work with F
. Camia and C.M. Newman.\n
LOCATION:https://researchseminars.org/talk/iccm2020/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Samuel Kou (Harvard University)
DTSTART:20201228T003000Z
DTEND:20201228T013000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/27
DESCRIPTION:Title: Statistical inference of dynamic systems via constrained Gaussian proces
ses\nby Samuel Kou (Harvard University) as part of ICCM 2020\n\n\nAbst
ract\nParameter estimation of nonlinear dynamical system models from noisy
and sparse experimental data is a vital task in many fields\; it has chal
lenged the existing inference methods\, especially when there are unobserv
ed system components. We propose a fast Bayesian inference method to estim
ate the ODE parameters with real data from biological/physical experiments
via constrained Gaussian process. Our method utilizes Gaussian processes
that are explicitly conditioned on the functional manifold that describes
the ODE system. Using this constrained Gaussian process under the Bayesian
paradigm\, our method completely avoids the use of numerical solver and t
hus achieves dramatic saving in computational time. At the same time\, our
method also offers accurate inference\, including uncertainly quantificat
ion. Our approach is distinct from the existing ones owing to its rigorous
construction under the Bayesian framework. We demonstrate the speed and a
ccuracy of the method using realistic examples\, including examples with u
nobserved system components.\n
LOCATION:https://researchseminars.org/talk/iccm2020/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Junliang Shen (MIT)
DTSTART:20201228T003000Z
DTEND:20201228T013000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/28
DESCRIPTION:Title: Cohomology of the moduli of Higgs bundles\nby Junliang Shen (MIT) as
part of ICCM 2020\n\n\nAbstract\nThe moduli space of Higgs bundles and H
itchin‘s integrable system lie at the crossroads of mathematical physics
\, representaton theory\, and geometry. In this talk\, we focus on the str
ucture of cohomology for the moduli of Higgs bundle from the viewpoints of
the non-abelian Hodge theorey\, hyper-Kähaler geometry\, and mirror symm
etry. In particular\, we will discuss recent progress on the P=W conjectur
e and Hausel-Thaddeus' topological mirror symmetry conjecture. Based on jo
int work with Mark de Cataldo and Davesh Maulik.\n
LOCATION:https://researchseminars.org/talk/iccm2020/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yun Shi (University of Illinois at Urbana-Champaign)
DTSTART:20201228T003000Z
DTEND:20201228T013000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/29
DESCRIPTION:Title: subschemes on some local toric Calabi-Yau threefolds\nby Yun Shi (Un
iversity of Illinois at Urbana-Champaign) as part of ICCM 2020\n\n\nAbstra
ct\nDonaldson-Thomas (DT) theory is an enumerative theory which produces a
count of ideal sheaves of 1-dimensional subschemes on a Calabi-Yau 3-fold
. Motivic Donaldson-Thomas theory\, originally introduced by Kontsevich-
Soibelman\, is a categorification of the DT theory. This categorification
contains more refined information of the moduli space. In this talk\, I wi
ll give a brief introduction to motivic DT theory following the definiti
on of Bussi-Joyce-Meinhardt\, in particular the role of d-critical locus
structure in the definition of motivic DT invariant. I will also discuss
a result on this structure on the Hilbert schemes of zero dimensional sub
schemes on some local toric Calabi-Yau threefolds. This is joint work in p
rogress with Sheldon Katz.\n
LOCATION:https://researchseminars.org/talk/iccm2020/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chao Zhang (Southeast University)
DTSTART:20201228T003000Z
DTEND:20201228T013000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/30
DESCRIPTION:Title: Stratifications on good reductions of Shimura varieties\nby Chao Zha
ng (Southeast University) as part of ICCM 2020\n\n\nAbstract\nI will first
explain definitions and basic geometric properties of various stratificat
ions on good reductions of Hodge type Shimura varieties. Then I will discu
ss analogous properties for Hodge type compactifications and Rapoport-Zink
spaces\, and for good reductions of Shimura varieties of abelian type. Th
is talk is partially based on a joint work with Xu Shen.\n
LOCATION:https://researchseminars.org/talk/iccm2020/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zongru Li (Harvard University)
DTSTART:20201228T013000Z
DTEND:20201228T023000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/31
DESCRIPTION:Title: Mirror duality between fractional complete intersection Calabi--Yau spac
es\nby Zongru Li (Harvard University) as part of ICCM 2020\n\n\nAbstra
ct\nRecently\, Hosono\, Lian\, Takagi\, and Yau investigated the family of
K3 surfaces arising from double covers branched along six lines in \\(\\m
athbb{P}^{2}\\) and proposed a singular version of mirror symmetry. In thi
s talk\, I will give a construction of mirror pairs of certain singular Ca
labi--Yau varieties. We will discuss the topological test as well as the q
uantum test on these singular Calabi--Yau pairs. The talk is based on the
joint works with Shinobu Hosono\, Bong H. Lian and S.-T. Yau.\n
LOCATION:https://researchseminars.org/talk/iccm2020/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rencang Li (University Of Texas At Arlington)
DTSTART:20201228T013000Z
DTEND:20201228T023000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/32
DESCRIPTION:Title: Orthogonal Multi-View Subspace Learning\nby Rencang Li (University O
f Texas At Arlington) as part of ICCM 2020\n\n\nAbstract\nMulti-view data
are increasingly collected for a variety of applications in the real world
. They contain complementary\, redundant\, and corroborative contents and
so provide more informative than single_x005fview data when it comes to ch
aracterize objects of the real-world. It is rather natural for human being
s to perceive the world through comprehensive information collected by mul
tiple sensory organs\, but it is an open question on how to endow machines
with analogous cognitive capabilities to do the same.One of the fundament
al challenges is how to represent and summarize multi-view data in such a
way that comprehensive information concealed in multi-view data can be pro
perly exploited by multi-view learning models. In this talk\, we will pres
ent a unified framework for multi-view subspace learning to learn individu
al orthogonal projections for all views. The framework integrates the corr
elations within multiple views\, supervised discriminant capacity\, and di
stance preservation in a concise and compact way. It not only includes sev
eral existing models as special cases\, but also inspires new novel models
. Besides the framework\, we will discuss highly efficient numerical metho
ds to solve the associated optimization problems. The methods are built up
on an iterative Krylov subspace method which can easily scale up for large
size datasets. Extensive experiments are conducted on various real-world
datasets for the multi-view discriminant analysis and multi-view multi-lab
el classification tasks. The experimental results demonstrate that the pro
posed models are consistently competitive to and often better than the sta
te-of-the-art methods.This is a joint work with Li Wang (UT Arlington)\, L
ei-hong Zhang (Soochow University)\, and Chungen Shen (University of Shang
hai for Science and Technology).\n
LOCATION:https://researchseminars.org/talk/iccm2020/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xiaotong Shen (University of Minnesota)
DTSTART:20201228T013000Z
DTEND:20201228T023000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/33
DESCRIPTION:Title: Likelihood inference for a large causal network\nby Xiaotong Shen (U
niversity of Minnesota) as part of ICCM 2020\n\n\nAbstract\nInference of c
ausal relations between interacting units in a directed acyclic graph (DAG
)\, such as a regulatory gene network\, is common in practice\, imposing c
hallenges because of a lack of inferential tools.In this talk\, I will pre
sent constrained likelihood ratio tests for inference of the connectivity
as well as directionality subject to nonconvex acyclicity constraints in a
Gaussian directed graphical model. Particularly\,for testing of connectiv
ity\, the asymptotic distribution is either chi-squared or normal dependin
g on if the number of testable links in a DAG model is small\; for testing
of directionality\, the asymptotic distribution is the minimum of d indep
endent chi-squared variables with one-degree of freedom or a generalized G
amma distribution depending on if d is small\, where d is the number of br
eakpoints in a hypothesized pathway.Computational methods will be discusse
d\, in addition to some numerical examples to infer a directed pathway in
a gene network. This work is joint with Chunlin Li and Wei Pan of the Univ
ersity of Minnesota.\n
LOCATION:https://researchseminars.org/talk/iccm2020/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mao Sheng (USTC)
DTSTART:20201228T013000Z
DTEND:20201228T023000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/34
DESCRIPTION:Title: Arithmetic semisimplicity theorem\nby Mao Sheng (USTC) as part of IC
CM 2020\n\n\nAbstract\nIn this lecture\, I would like to talk on an arithm
etic version of the Deligne' semisimplicity theorem.\n
LOCATION:https://researchseminars.org/talk/iccm2020/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hao Huang (Emory University)
DTSTART:20201228T030000Z
DTEND:20201228T034500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/35
DESCRIPTION:Title: Interlacing methods in Extremal Combinatorics\nby Hao Huang (Emory U
niversity) as part of ICCM 2020\n\n\nAbstract\nExtremal Combinatorics stud
ies how large or how small a collection of finite objects could be\, if it
has to satisfy certain restrictions. In this talk\, we will discuss how e
igenvalue interlacing leads to various interesting results in Extremal Com
binatorics\, including the Erdos-Ko-Rado Theorem and its degree version\,
an isodiametric inequality for discrete cubes\, and the resolution of a th
irty-year-old open problem in Theoretical Computer Science\, the Sensitivi
ty Conjecture.\n
LOCATION:https://researchseminars.org/talk/iccm2020/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yihang Zhu (University of Maryland)
DTSTART:20201228T030000Z
DTEND:20201228T034500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/36
DESCRIPTION:Title: Twisted orbital integrals and affine Deligne-Lusztig varieties\nby Y
ihang Zhu (University of Maryland) as part of ICCM 2020\n\n\nAbstract\nAff
ine Deligne-Lusztig varieties are certain algebraic varieties whose defini
tion has a strong Lie theory flavor. They play an important role in the st
udy of Shimura varieties\, which is one of the central topics in the Langl
ands Program. On the other hand\, (twisted) orbital integrals on a Lie gro
up are natural objects in harmonic analysis\, which also appear in the Lan
glands Program. We will discuss a recent method of using twisted orbital i
ntegrals to study the geometry of affine Deligne-Lusztig varieties. The ta
lk is based on a paper joint with Rong Zhou.\n
LOCATION:https://researchseminars.org/talk/iccm2020/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kuan-Wen Lai (Universtiy of Mass)
DTSTART:20201228T030000Z
DTEND:20201228T034500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/37
DESCRIPTION:Title: Fourier-Mukai equivalences arising from Cremona transformations\nby
Kuan-Wen Lai (Universtiy of Mass) as part of ICCM 2020\n\n\nAbstract\nIt i
s widely conjectured that a cubic fourfold is rational if and only if its
derived category contains a summand that comes from a K3 surface. This que
stion suggests the study about how the birational geometry of cubic fourfo
lds is determined by their associated K3 surfaces\, or more generally\, by
their K3 categories. This talk aims to introduce two examples of equivale
nces between K3 categories constructed from Cremona transformations\, i.e.
\, birational automorphisms of projective spaces\, as well as some of thei
r applications.\n
LOCATION:https://researchseminars.org/talk/iccm2020/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Siyuan Lu (McMaster University\, Canada)
DTSTART:20201228T030000Z
DTEND:20201228T034500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/38
DESCRIPTION:Title: Rigidity of Riemannian Penrose inequality with corners and its implicati
ons\nby Siyuan Lu (McMaster University\, Canada) as part of ICCM 2020\
n\n\nAbstract\nMotivated by the rigidity case in the localized Riemannian
Penrose inequality\, we show that suitable singular metrics attaining the
optimal value in the Riemannian Penrose inequality is necessarily smooth i
n properly specified coordinates. If applied to hypersurfaces enclosing th
e horizon in a spatial Schwarzschild manifold\, the result gives the rigid
ity of isometric hypersurfaces with the same mean curvature.\n
LOCATION:https://researchseminars.org/talk/iccm2020/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jonathan Wing Hong Luk
DTSTART:20201228T030000Z
DTEND:20201228T034500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/39
DESCRIPTION:Title: Singularities in general relativity\nby Jonathan Wing Hong Luk as pa
rt of ICCM 2020\n\n\nAbstract\nIn this talk\, I will survey some recent ma
thematical results regarding the nature of singularities in general relati
vity.\n
LOCATION:https://researchseminars.org/talk/iccm2020/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yu-Shen Lin (Boston University)
DTSTART:20201228T030000Z
DTEND:20201228T034500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/40
DESCRIPTION:Title: On the comparison of the family Floer mirrors and GS/GHK Mirrors\nby
Yu-Shen Lin (Boston University) as part of ICCM 2020\n\n\nAbstract\nStrom
inger-Yau-Zaslow conjecture serves as the guiding principle for mirror sym
metry in the past decade. In particular\, SYZ spirit provides a recipe for
constructing the mirrors. Instead of the original conjecture\, there is t
he algebraic approach of Kontsevich-Soibelman\, Gross-Siebert and the symp
lectic approach of using family Floer homology. It is natural to ask to as
k if the two approaches give the same mirror. In this talk\, I will discus
s some situations with the existence of special Lagrangian fibrations for
some log Calabi-Yau surfaces. Furthermore\, we will compare the family Flo
er mirror with the Gross-Hacking-Keel mirror and finite cluster varieties.
Part of the talk is based on the joint work with Man-Wai Cheung.\n
LOCATION:https://researchseminars.org/talk/iccm2020/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jianguo Liu (Duke University)
DTSTART:20201228T030000Z
DTEND:20201228T034500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/41
DESCRIPTION:Title: Contact line dynamics for merging and splitting of droplets: gradient fl
ow formulation and computations\nby Jianguo Liu (Duke University) as p
art of ICCM 2020\n\n\nAbstract\nThe capillary effects caused by the interf
acial energy dominates the dynamics of small droplets and takes the form o
f mean curvature flow of the capillary surface coupled with contact line d
ynamics. For the volume preserving motion\, this is modeled by a free boun
dary incompressible potential flow. A gradient flow on a Hilbert manifold
is used for effective numerical methods. We propose unconditionally stable
first/second order numerical schemes based on explicit moving boundary up
dates and a semi-Lagrangian method. To enforce impermeable obstacle constr
aint\, a projection method for a variational inequality is further adapte
d to simulate the unavoidable merging and splitting of droplets. The phase
transition for the emerged contact lines are detected and equipped with c
ontact line mechanism. We also compare the purely geometric droplet dynami
cs with hydrodynamic models.\n
LOCATION:https://researchseminars.org/talk/iccm2020/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuxin Chen (Princeton University)
DTSTART:20201228T030000Z
DTEND:20201228T034500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/42
DESCRIPTION:Title: Solving Random Quadratic Systems of Equations Is Nearly as Easy as Solvi
ng Linear Systems\nby Yuxin Chen (Princeton University) as part of ICC
M 2020\n\n\nAbstract\nThis talk considers the fundamental problem of solvi
ng quadratic systems of equations in n variables. We propose a novel metho
d\, which starting with an initial guess computed by means of a spectral m
ethod\, proceeds by minimizing a nonconvex functional as in the Wirtinger
flow approach. There are several key distinguishing features\, most notabl
y\, a distinct objective functional and novel update rules\, which operate
in an adaptive fashion and drop terms bearing too much influence on the s
earch direction. These careful selection rules provide a tighter initial g
uess\, better descent directions\, and thus enhanced practical performance
. On the theoretical side\, we prove that for certain unstructured models
of quadratic systems\, our algorithms return the correct solution in linea
r time\, i.e. in time proportional to reading the data as soon as the rati
o between the number of equations and unknowns exceeds a fixed numerical c
onstant. We extend the theory to deal with noisy systems and prove that ou
r algorithms achieve a statistical accuracy\, which is nearly un-improvabl
e. We complement our theoretical study with numerical examples showing tha
t solving random quadratic systems is both computationally and statistical
ly not much harder than solving linear systems of the same size---hence th
e title of this work. For instance\, we demonstrate empirically that the c
omputational cost of our algorithm is about four times that of solving a l
east-squares problem of the same size.\n
LOCATION:https://researchseminars.org/talk/iccm2020/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yau Shing-Tung (Havard University)
DTSTART:20201228T083000Z
DTEND:20201228T093000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/43
DESCRIPTION:Title: Existence of black hole due to GR and dynamics of particles around it\nby Yau Shing-Tung (Havard University) as part of ICCM 2020\n\n\nAbstrac
t\n我们讨论广义相对论中关于证明黑洞存在性的数学理
论发展及其几何原理。\n
LOCATION:https://researchseminars.org/talk/iccm2020/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chunhe Li (华南师范大学)
DTSTART:20201228T070000Z
DTEND:20201228T074500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/44
DESCRIPTION:Title: The isometric embedding in rotationally symmetric warped product space:e
xistence and uniqueness\nby Chunhe Li (华南师范大学) as part of
ICCM 2020\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/iccm2020/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jinbang Yang
DTSTART:20201228T070000Z
DTEND:20201228T074500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/45
DESCRIPTION:Title: Comparison on p-adic Simpson correspondence and p-adic Riemann-Hilbert c
orrespondence\nby Jinbang Yang as part of ICCM 2020\n\n\nAbstract\nIn
2005\, Faltings constructed an equivalence between the category of Higgs b
undles and that of generalized representations of the \\'etale fundamental
group for curves over a p-adic field. In 2013\, Scholze introduced a full
y faithful functor from the category filtered de Rham bundles to that of $
\\mathbb B_{dR}^+$-local systems. In this talk\, I will show that for a fi
ltered de Rham bundle the first graded piece of the $\\mathbb B_{dR}^+$-
local systems is just the generalized representation attached to its grade
d Higgs bundle. This is a joint work with Kang Zuo.\n
LOCATION:https://researchseminars.org/talk/iccm2020/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lei Zhang (USTC)
DTSTART:20201228T070000Z
DTEND:20201228T074500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/46
DESCRIPTION:Title: Pluricanonical system in positive characteristic\nby Lei Zhang (USTC
) as part of ICCM 2020\n\n\nAbstract\nPluricanonical system plays an impor
tant role in the classification of varieties. Concerning this issue\, abun
dance and effectivity are the two most important problems. To study the tw
o problems\, the key point is how to construct pluricanonical sections. Th
ere have been many methods to construct pluricanonical sections in charact
eristic zero. In this talk\, we discuss pluricanonical systems on varietie
s in positive characteristic. We will summarize the recent progresses and
explain how to adapt the techniques from characteristic zero to positive c
haracteristic case.\n
LOCATION:https://researchseminars.org/talk/iccm2020/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pu Zhang (上海交通大学)
DTSTART:20201228T070000Z
DTEND:20201228T074500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/47
DESCRIPTION:Title: 单态射范畴\, Gorenstein 投射模和倾斜理论\nby Pu Zhang (
上海交通大学) as part of ICCM 2020\n\n\nAbstract\n我们将报告由
quiver和双模确定的两种单态射范畴的各种性质，它们与Go
renstein投射模，半Gorenstein投射模，倾斜理论，奇点范畴
之间的关系.我们将构造Hilbert型为(3\,2)的6维局部代数上
一类（无穷多个）半Gorenstein投射模而非torsionless模（从
而非Gorenstein投射模）的例子.\n
LOCATION:https://researchseminars.org/talk/iccm2020/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chenglong Yu (Tsinghua University)
DTSTART:20201228T053000Z
DTEND:20201228T063000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/48
DESCRIPTION:Title: Calabi-Yau varieties via cyclic covers and arithmetic ball quotients
\nby Chenglong Yu (Tsinghua University) as part of ICCM 2020\n\n\nAbstract
\nIn this talk\, we consider Calabi-Yau varieties arising from cyclic cove
rs of smooth projective varieties branching along simple normal crossing d
ivisors. The crepant resolutions give families of smooth Calabi-Yau manifo
lds. In some cases\, the corresponding period maps factor through ball quo
tients. We give a classification of such examples for cyclic covers of som
e Fano varieties\, especially for the product of three projective lines. T
his generalizes the work of Sheng-Xu-Zuo. Some of the Calabi-Yau manifolds
obtained are related to the Borcea-Voisin construction and studied in Roh
de’s thesis. This is joint work with Zhiwei Zheng.\n
LOCATION:https://researchseminars.org/talk/iccm2020/48/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lei Zhang (National University of Singapore)
DTSTART:20201228T053000Z
DTEND:20201228T063000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/49
DESCRIPTION:Title: Twisted Automorphic Descent and the Global Gan-Gross-Prasad Conjecture\nby Lei Zhang (National University of Singapore) as part of ICCM 2020\n
\n\nAbstract\nIn this talk\, we will discuss the theory of Twisted Automor
phic Descent and constructions of concrete cuspidal automorphic modules by
means of the global Arthur parameters via endoscopy classification. Among
the consequences of the theory\, we establish one direction of Global Gan
-Gross-Prasad Conjecture in full generality for all classical groups. This
is a joint project with Dihua Jiang.\n
LOCATION:https://researchseminars.org/talk/iccm2020/49/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shuang Miao (Wuhan University)
DTSTART:20201228T053000Z
DTEND:20201228T063000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/50
DESCRIPTION:Title: The stability of blow up solutions to critical Wave Maps beyond equivari
ant setting\nby Shuang Miao (Wuhan University) as part of ICCM 2020\n\
n\nAbstract\nIn 2006\, Krieger\, Schlag and Tataru (KST) constructed a fam
ily of type II blow up solutions to the 2+1 dimensional wave map equation
with unit sphere as its target. This construction provides the first examp
le of blow up solutions to the energy-critical Wave Maps. A key feature of
this family is that it exhibits a continuum of blow up rates. However\, f
rom the way it was constructed\, the stability of this family was not clea
r and it was believed to be non-generic. In this talk I will present our r
ecent work on proving the stability and rigidity of the KST family\, beyon
d the equivariant setting. This is based on joint works with Joachim Krieg
er and Wilhelm Schlag.\n
LOCATION:https://researchseminars.org/talk/iccm2020/50/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hao Wu (Tsinghua University)
DTSTART:20201228T053000Z
DTEND:20201228T063000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/51
DESCRIPTION:Title: Crossing probabilities in 2D critical lattice models\nby Hao Wu (Tsi
nghua University) as part of ICCM 2020\n\n\nAbstract\nThis talk has two pa
rts. In the first part\, we discuss Ising model which is one of the most s
tudied models in statistical physics. We consider critical Ising model in
two-dimensional and give crossing probabilities of multiple interfaces in
the critical Ising model in polygon with alternating boundary conditions.
Similar formulas also hold for other critical lattice models\, for instanc
e level lines of discrete Gaussian free field. However\, the situation is
different when one considers level lines of metric graph Gaussian free fie
ld. This leads to the second part of this talk. In the second part\, we di
scuss Gaussian free field (GFF). Discrete GFF and metric graph GFF converg
e to the same continuum GFF. However\, their crossing probabilities are di
stinct. We will explain the difference and show how to calculate them.\n
LOCATION:https://researchseminars.org/talk/iccm2020/51/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xiangdi Huang (中科院数学与系统科学研究院)
DTSTART:20201228T070000Z
DTEND:20201228T074500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/52
DESCRIPTION:Title: Global classical and weak solutions to the three-dimensional full compre
ssible Navier-Stokes system with vacuum and large oscillations\nby Xia
ngdi Huang (中科院数学与系统科学研究院) as part of ICCM 2020\
n\n\nAbstract\nFor the three-dimensional full compressible Navier–Stokes
system describing the motion of a viscous\, compressible\, heat-conductiv
e\, and Newtonian polytropic fluid\, we establish the global existence and
uniqueness of classical solutions with smooth initial data which are of s
mall energy but possibly large oscillations where the initial density is a
llowed to vanish. Moreover\, for the initial data\, which may be discontin
uous and contain vacuum states\, we also obtain the global existence of we
ak solutions. These results generalize previous ones on classical and weak
solutions for initial density being strictly away from a vacuum\, and are
the first for global classical and weak solutions which may have large os
cillations and can contain vacuum states.\n
LOCATION:https://researchseminars.org/talk/iccm2020/52/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Changzheng Li (Sun Yat-Sen University)
DTSTART:20201228T070000Z
DTEND:20201228T074500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/53
DESCRIPTION:Title: Eigenvalue problems and quantum cohomology\nby Changzheng Li (Sun Ya
t-Sen University) as part of ICCM 2020\n\n\nAbstract\nIn this talk\, we wi
ll discuss some problems on the eigenvalues of linear operators on the qua
ntum cohomology of a Fano manifold\, induced by the quantum multiplication
s.\n
LOCATION:https://researchseminars.org/talk/iccm2020/53/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bangti Jin (UCL\, UK)
DTSTART:20201228T070000Z
DTEND:20201228T074500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/54
DESCRIPTION:Title: Numerical methods for time-fractional diffusion\nby Bangti Jin (UCL\
, UK) as part of ICCM 2020\n\n\nAbstract\nDuring the past decade\, parabol
ic equations involving a fractional-order derivative in time have received
much attention\, and a large number of numerical methods have been develo
ped. Many of these existing methods were developed by assuming that the so
lution is sufficiently smooth\, which however is generally not true. In th
is talk\, I will describe our works on developing and analyzing and robust
numerical schemes that do not assume solution regularity directly\, but o
nly data regularity.\n
LOCATION:https://researchseminars.org/talk/iccm2020/54/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kelin Xia/夏克林 (新加坡南洋理工大学)
DTSTART:20201228T070000Z
DTEND:20201228T074500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/55
DESCRIPTION:Title: Persistent representations based deep learning for drug design\nby K
elin Xia/夏克林 (新加坡南洋理工大学) as part of ICCM 2020\n\n\
nAbstract\nEffective molecular representation is key to the success of mac
hine learning models for molecular data analysis. In this talk\, we will d
iscuss a series of persistent representations\, including persistent homol
ogy\, persistent spectral models\, and persistent Ricci curvature and thei
r combination with deep learning models. Unlike traditional graph and netw
ork models\, these filtration-induced persistent models can characterize t
he multiscale topological and geometric information\, thus significantly r
educe molecular data complexity and dimensionality. Feature vectors are o
btained from various persistent attributes derived from topological and ge
ometric invariants\, such as homology\, cohomology\, eigenvalues\, and Ric
ci curvature. They are inputted into deep learning models\, in particular\
, random forest\, gradient boosting tree and convolutional neural network
(CNN). Our persistent representations based molecular fingerprints can sig
nificantly boost the performance of learning models in drug design.\n
LOCATION:https://researchseminars.org/talk/iccm2020/55/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bin Shu (华东师范大学)
DTSTART:20201228T074500Z
DTEND:20201228T083000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/56
DESCRIPTION:Title: Super Vust theorem and a duality for principal finite W-superalgebras\nby Bin Shu (华东师范大学) as part of ICCM 2020\n\n\nAbstract\nIn
this talk\, I will introduce a super version of Vust theorem for a general
linear Lie superalgebra\, which gives rise to a duality involving any giv
en nilpotent even matrix. The duality can be extended to the principal fin
ite W-superalgebras. This is a joint work with Changjie Cheng and Yang Zen
g.\n
LOCATION:https://researchseminars.org/talk/iccm2020/56/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Weizhe Zheng (AMSS)
DTSTART:20201228T074500Z
DTEND:20201228T083000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/57
DESCRIPTION:Title: Weil猜想、平展上同调和超积\nby Weizhe Zheng (AMSS) as par
t of ICCM 2020\n\n\nAbstract\nWeil猜想是关于有限域上代数簇Zeta
函数的重要猜想。本报告将回顾Weil猜想和平展上同调的
关系，介绍分解定理等后续发展，并简介超积上同调的
一些新进展。\n
LOCATION:https://researchseminars.org/talk/iccm2020/57/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Qifeng Li (Institute for Basic Science)
DTSTART:20201228T074500Z
DTEND:20201228T083000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/58
DESCRIPTION:Title: The VMRT structures and the deformation rigidity of rational homogeneous
spaces\nby Qifeng Li (Institute for Basic Science) as part of ICCM 20
20\n\n\nAbstract\nIn a series of works of Hwang and Mok\, they studied ext
ensively the deformation rigidity of rational homogeneous spaces of Picard
number one. Inspired by these works\, they conjecture that rational homog
eneous spaces of Picard number one can be characterized by their VMRT's (v
arieties of minimal rational tangents). In this talk we will discuss on tw
o related topics\, one is the deformation rigidity of rational homogeneous
spaces of higher Picard numbers\, and the other is the verification of th
is characterization conjecture.\n
LOCATION:https://researchseminars.org/talk/iccm2020/58/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yongsheng Zhang (Tongji University)
DTSTART:20201228T074500Z
DTEND:20201228T083000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/59
DESCRIPTION:Title: On the non-existence of solutions to the Dirichlet problem for minimal s
urface system\nby Yongsheng Zhang (Tongji University) as part of ICCM
2020\n\n\nAbstract\nIn this talk，we will show how to generalize the non-
existence result by Lawson-Osserman.\n
LOCATION:https://researchseminars.org/talk/iccm2020/59/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jinkai Li (华南师范大学)
DTSTART:20201228T074500Z
DTEND:20201228T083000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/60
DESCRIPTION:Title: Well-posedness of entropy-bounded solutions of the compressible Navier-S
tokes equations with vacuum\nby Jinkai Li (华南师范大学) as part
of ICCM 2020\n\n\nAbstract\nThe entropy is one of the fundamental physica
l states of a fluid. For the ideal gases\, the entropy can be expressed as
some linear combination of the logarithms of the density and temperature
in the non-vacuum region\, and\, in the viscous case\, the equation that i
t satisfies is highly singular in the region close to the vacuum. Due to t
he singularity of the logarithmic function at zero\, which may lead to the
singularity of the entropy\, and the singularity of the entropy equation
near the vacuum region\, in spite of its importance in the gas dynamics\,
the mathematical analyses on the behavior of the entropy near the vacuum r
egion\, were rarely carried out\; in particular\, in the presence of vacuu
m\, it was unknown if the entropy remains its boundedness. We will show in
this talk that the ideal gases retain their uniform boundedness of the en
tropy\, locally or globally in time\, if the vacuum occurs at the far fiel
d only and the density decays slowly enough at the far field. Precisely\,
we consider the Cauchy problem to the full compressible Navier-Stokes equa
tions\, with or without heat conductivity\, and establish the local and gl
obal existence and uniqueness of entropy-bounded solutions in the presence
of vacuum at the far field only. These are joint works with Prof. Zhou
ping Xin.\n
LOCATION:https://researchseminars.org/talk/iccm2020/60/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xu Hao
DTSTART:20201228T074500Z
DTEND:20201228T083000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/61
DESCRIPTION:Title: Bergman kernel and quantization of Kahler manifolds\nby Xu Hao as pa
rt of ICCM 2020\n\n\nAbstract\nSimilar to the asymptotic expansion of heat
kernel\, the asymptotic expansion of Bergman kernel on Kahler manifolds h
ave important geometric applications. We will talk about some interesting
physical interpretation of this expansion (e.g.\, quantum Hall effect) and
review recent works on its relations to deformation quantization.\n
LOCATION:https://researchseminars.org/talk/iccm2020/61/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Juyong Zhang
DTSTART:20201228T074500Z
DTEND:20201228T083000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/62
DESCRIPTION:Title: Anderson Acceleration for First-Order Methods in Visual Computing\nb
y Juyong Zhang as part of ICCM 2020\n\n\nAbstract\nAlternating optimizatio
n methods like local-global solver and alternating direction multiplier me
thod (ADMM) are commonly used in areas like signal processing\, machine le
arning and computer graphics. These methods converge quickly to an approxi
mate solution\, but can take a long time to converge to a solution of high
-accuracy. In this talk\, I will present our works about applying Anderson
acceleration to speed up the convergence of these methods by treating the
m as fixed-point iteration. We also analyze the convergence of the propose
d acceleration method on nonconvex problems\, and verify its effectiveness
on a variety of problems.\n
LOCATION:https://researchseminars.org/talk/iccm2020/62/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhonggen Su (Zhejiang University)
DTSTART:20201228T074500Z
DTEND:20201228T083000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/63
DESCRIPTION:Title: Fluctuations on Plancherel interger partitions around its limit shape\nby Zhonggen Su (Zhejiang University) as part of ICCM 2020\n\n\nAbstract
\nFor s natural number n\, let P_n be the space of all integer partitions
\\lambda of n. Let P_{pl}(\\lambda)=\\frac{d_{\\lambda}^2}{n!}\, where d_{
\\lambda} stands for the numbers of all standard Young tableanux with shap
e \\lambda. A remarkable result\, almost simultaneously obtained by Logan
and Shepp\, Vershik and Kerov in the seventies\, is that there is a limit
shape w(x) for suitably scale \\lambda under the probability measure P_{pl
}. In this talk we will report a Gaussian fluctuation result for \\lambda_
{[\\sqrt{n}x]} around the shape curve w(x). The result complements\, in a
striking way\, the well-known theorem of Kerov on the generalized Gaussian
convergence. The proofs are based on the poissonization techniques and th
e Costin-Lebowitz-Soshnikov central limit theorem for determinantal point
processes.\n
LOCATION:https://researchseminars.org/talk/iccm2020/63/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xin Wan (Morningside Center of Mathematics\, AMSS)
DTSTART:20201229T060000Z
DTEND:20201229T070000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/64
DESCRIPTION:Title: Iwasawa main conjecture at bad primes\nby Xin Wan (Morningside Cente
r of Mathematics\, AMSS) as part of ICCM 2020\n\n\nAbstract\nI present an
ongoing joint work with Olivier Fouquet to prove the Iwasawa main conjectu
re allowing arbitrary ramification at p. Then we discuss some applications
.\n
LOCATION:https://researchseminars.org/talk/iccm2020/64/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lu Wang (Caltech)
DTSTART:20201229T060000Z
DTEND:20201229T070000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/65
DESCRIPTION:Title: Nonuniqueness in Mean Curvature Flow\nby Lu Wang (Caltech) as part o
f ICCM 2020\n\n\nAbstract\nMean curvature flow is the gradient flow of are
a functional that decreases the area in the steepest way. In general the f
low will develop singularities in finite time. It is known that there may
not be a unique way to continue the flow through singularities. In this ta
lk\, we will discuss some global features of the space of mean curvature f
lows that emerge from cone-like singularities. This is joint with Jacob Be
rnstein.\n
LOCATION:https://researchseminars.org/talk/iccm2020/65/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jintai Ding/丁津泰 (Yau Mathematical Sciences Center\, Tsinghua
University)
DTSTART:20201229T060000Z
DTEND:20201229T070000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/66
DESCRIPTION:Title: Multivariate public key cryptosystems - Candidates for the Next Generat
ion Post-quantum Standards\nby Jintai Ding/丁津泰 (Yau Mathematical
Sciences Center\, Tsinghua University) as part of ICCM 2020\n\n\nAbstract
\nModern Cryptography\, in particular\, public key cryptography is the sec
urity foundation of our modern communication systems like the Internet. In
this lecture\, we will first present the basic idea of public key cryptog
raphy and its applications in privacy protection and blockchain. The secon
d half of the the talk will discuss the quantum threat and post-quantum cr
yptography. The focus will be on the fundamental mathematical challenges i
n post-quantum cryptography.\n
LOCATION:https://researchseminars.org/talk/iccm2020/66/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xu Shen/申旭 (Morningside Center of Mathematics\, AMSS)
DTSTART:20201229T060000Z
DTEND:20201229T070000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/67
DESCRIPTION:Title: Diamonds and p-adic period domains\nby Xu Shen/申旭 (Morningside C
enter of Mathematics\, AMSS) as part of ICCM 2020\n\n\nAbstract\nThe theor
y of diamonds was introduced by Scholze in his 2014 Berkeley lectures\, wh
ich provides a powerful tool to study p-adic Hodge theory and the Langland
s program. In this talk\, we will investigate the geometry of some diamond
s\, namely the B_{dR}^+-affine Schubert varieties\, via the Fargues-Fontai
ne curve. Along the way\, the theory of p-adic period domains arises natur
ally. We will explain how the de Rham periods and the Hodge-Tate periods a
re related to each other\, and we will discuss the structure of certain ge
neralized p-adic period domains.\n
LOCATION:https://researchseminars.org/talk/iccm2020/67/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cuibo Jiang/ 姜翠波 (上海交通大学)
DTSTART:20201229T070000Z
DTEND:20201229T081500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/68
DESCRIPTION:Title: The analogue of classical Schur-Weyl duality in VOAs\nby Cuibo Jia
ng/ 姜翠波 (上海交通大学) as part of ICCM 2020\n\n\nAbstract\nWe
will talk about the analogue of classical Schur-Weyl duality in the theory
of vertex operator algebras.\n
LOCATION:https://researchseminars.org/talk/iccm2020/68/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fu-Tsun Wei 魏福村 (National Tsing Hua University)
DTSTART:20201229T070000Z
DTEND:20201229T081500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/69
DESCRIPTION:Title: On Kronecker terms over function fields\nby Fu-Tsun Wei 魏福村 (N
ational Tsing Hua University) as part of ICCM 2020\n\n\nAbstract\nIn this
talk\, I shall present a function field analogue of the Kronecker limit fo
rmula (in mixed characteristic)\, which connects a special value of “non
-holomorohic” Ensenstein series on the Drinfeld period domain with the D
rinfeld-Siegel units. This leads to analytic means of deriving a Colmez-ty
pe formula for “stable Taguchi height” of CM Drinfeld modules having a
rbitrary rank. A Lerch-Type formula for “totally real” function fields
is also obtained\, with the Heegner cycle on the Bruhat-Tits buildings in
tervene. Also\, our limit formula is naturally applied to the special valu
es of both the Rankin-Selberg L-functions and the Godement-Jacquet L-funct
ions associated to automorphic cuspidal representations over global functi
on fields.\n
LOCATION:https://researchseminars.org/talk/iccm2020/69/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yueran Sun/孙悦然 (Zhejiang University)
DTSTART:20201229T070000Z
DTEND:20201229T081500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/70
DESCRIPTION:Title: Big Picard Theorem on moduli spaces of polarized manifolds\nby Yuera
n Sun/孙悦然 (Zhejiang University) as part of ICCM 2020\n\n\nAbstract\n
In 1972 Armand Borel obtained a big Picard type extension theorem for holo
morphic maps from products of punctured unit disc to arithmetic varieties\
, by using the Baily-Borel compactification. As a consequence\, he proved
that the algebraic structure on an arithmetic variety is unique. In this t
alk\, I will present a similar big Picard type extension theorem in the se
tting of moduli spaces of polarized manifolds with semi-ample canonical di
visor\, which is a joint work with Ya Deng\, Steven Lu and Kang Zuo. The p
roof uses the Viehweg-Zuo construction for families of varieties and some
analytic tools from value distribution theory.\n
LOCATION:https://researchseminars.org/talk/iccm2020/70/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xin Zhou 周鑫 (Cornell University)
DTSTART:20201229T070000Z
DTEND:20201229T081500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/71
DESCRIPTION:Title: Existence of constant mean curvature hypersurfaces\nby Xin Zhou 周
鑫 (Cornell University) as part of ICCM 2020\n\n\nAbstract\nWe will surve
y some recent progress on the existence of closed CMC hypersurfaces.\n
LOCATION:https://researchseminars.org/talk/iccm2020/71/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Meng Wang/ 王梦 (Zhejiang University)
DTSTART:20201229T070000Z
DTEND:20201229T081500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/72
DESCRIPTION:Title: A note on the Asymptotic solutions for MHD systems\nby Meng Wang/
王梦 (Zhejiang University) as part of ICCM 2020\n\n\nAbstract\nWe derive
free boundary problem for the limit values of the magnetic field and the
velocity field of the fluid. We will also construct the 1-order asymptotic
solution.\n
LOCATION:https://researchseminars.org/talk/iccm2020/72/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhengyu Hu /胡正宇
DTSTART:20201229T070000Z
DTEND:20201229T081500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/73
DESCRIPTION:Title: Minimal model theory for log canonical pairs\nby Zhengyu Hu /胡正
宇 as part of ICCM 2020\n\n\nAbstract\nIn this talk\, I will discuss rece
nt progress on minimal model theory for log canonical pairs. In the minima
l model program(MMP) one can quantify the type of singularities which occu
r: the simplest MMP-singularities are called “terminal” and the most c
omplex ones are the so-called "log canonical". There are others in between
\, for example\, the "Kawamata log terminal" singularities that are most w
idely used. I will give an inductive argument of extending results from th
e Kawamata log terminal pairs to log canonical pairs. Part of this talk is
based on joint work with Kenta Hashizume.\n
LOCATION:https://researchseminars.org/talk/iccm2020/73/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mingyi Hong 洪明毅 (University of Minnesota)
DTSTART:20201229T070000Z
DTEND:20201229T081500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/74
DESCRIPTION:Title: Convergence Analysis of Alternating Direction Method of Multipliers for
a Family of Nonconvex Problems\nby Mingyi Hong 洪明毅 (University o
f Minnesota) as part of ICCM 2020\n\n\nAbstract\nThe alternating direction
method of multipliers (ADMM) is widely used to solve large-scale linearly
constrained optimization problems\, convex or nonconvex\, in many enginee
ring fields. However there is a general lack of theoretical understanding
of the algorithm when the objective function is nonconvex. In this work we
analyze the convergence of the ADMM for solving certain nonconvex consens
us and sharing problems. By using a three-step argument\, we show that the
classical ADMM converges to the set of stationary solutions\, provided th
at the penalty parameter in the augmented Lagrangian is chosen to be suffi
ciently large. For the sharing problems\, we show that the ADMM is converg
ent regardless of the number of variable blocks. Our analysis does not imp
ose any assumptions on the iterates generated by the algorithm\, and is br
oadly applicable to many ADMM variants involving proximal update rules and
various flexible block selection rules. Finally\, we discuss a few genera
lizations of the three-step analysis to a broader class of algorithms\, wi
th applications in signal processing and machine learning.\n
LOCATION:https://researchseminars.org/talk/iccm2020/74/
END:VEVENT
BEGIN:VEVENT
SUMMARY:I-Ping Tu/杜憶萍 (The Institute of Statistical Science\,Academi
a Sinica\,Taiwan)
DTSTART:20201229T070000Z
DTEND:20201229T081500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/75
DESCRIPTION:Title: 2SDR for noisy high-dimensional images and application to Cryogenic Elec
tron Microscopy\nby I-Ping Tu/杜憶萍 (The Institute of Statistical
Science\,Academia Sinica\,Taiwan) as part of ICCM 2020\n\n\nAbstract\nPrin
cipal component analysis (PCA) is arguably the most widely used dimension-
reduction method for vector-type data. When applied to a sample of images\
, PCA requires vectorization of the image data\, which in turn entails sol
ving an eigenvalue problem for the sample covariance matrix. We propose he
rein a two-stage dimension reduction (2SDR) method for image reconstructio
n from high-dimensional noisy image data. The first stage treats the image
as a matrix\, which is a tensor of order 2\, and uses multilinear princip
al component analysis (MPCA) for matrix rank reduction and image denoising
. The second stage vectorizes the reduced-rank matrix and achieves further
dimension and noise reduction. Simulation studies demonstrate excellent p
erformance of 2SDR\, for which we also develop an asymptotic theory that e
stablishes consistency of its rank selection. Applications to cryo-EM (cry
ogenic electronic microscopy)\, which has revolutionized structural biolog
y\, organic and medical chemistry\, cellular and molecular physiology in t
he past decade\, are also provided and illustrated with benchmark cryo-EM
datasets. Connections to other contemporaneous developments in image recon
struction and high-dimensional statistical inference are also discussed.
\nThis is a
joint work with Szu-Chi Chung\, Po-Yao Niu\, Su-Yun Huang and Wei-Hau Cha
ng.\n
LOCATION:https://researchseminars.org/talk/iccm2020/75/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yucai Su/苏育才
DTSTART:20201229T081500Z
DTEND:20201229T090000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/76
DESCRIPTION:Title: A key Lemma related to 2-dimensional Jacobian conjecture\nby Yucai
Su/苏育才 as part of ICCM 2020\n\n\nAbstract\nIn a recent paper entitle
d "Proof of two-dimensional Jacobian conjecture" (arXiv:1603.01867)\, we p
resent an attempt to give a proof of two-dimensional Jacobian conjecture.
In this talk\, the speak will report the key Lemma used in the paper.\n
LOCATION:https://researchseminars.org/talk/iccm2020/76/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chong Zhang/张翀 (南京大学)
DTSTART:20201229T081500Z
DTEND:20201229T090000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/77
DESCRIPTION:Title: Regular supercuspidal representations and applications\nby Chong Zha
ng/张翀 (南京大学) as part of ICCM 2020\n\n\nAbstract\nRegular super
cuspidal representations are recently introduced by Kaletha\, which are a
subclass of tame supercuspidal representations. This new construction has
many applications in the representation theory of p-adic reductive groups.
I will discuss the distinction problem for these representations\, and al
so its relation with the local theta correspondence.\n
LOCATION:https://researchseminars.org/talk/iccm2020/77/
END:VEVENT
BEGIN:VEVENT
SUMMARY:JinXin Xu/许金兴 (USTC)
DTSTART:20201229T081500Z
DTEND:20201229T090000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/78
DESCRIPTION:Title: Reduction mod p proofs of some theorems in linear algebraic groups\n
by JinXin Xu/许金兴 (USTC) as part of ICCM 2020\n\n\nAbstract\nMany alg
ebraic geometry statements involve only finitely many data\, and hence the
ir proofs can be reduced to problems over finite fields. I will show how t
o use this well-known technique to get new proofs of some fundamental resu
lts in linear algebraic groups\, including: structure of unipotent groups\
, Jordan decomposition\, and the connectedness of the normalizer of a Bore
l subgroup. This is a joint work with Xiaopeng Xia.\n
LOCATION:https://researchseminars.org/talk/iccm2020/78/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Li Lei/雷力
DTSTART:20201229T081500Z
DTEND:20201229T090000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/79
DESCRIPTION:Title: Ancient solution of mean curvature flow of arbitrary codimension\nby
Li Lei/雷力 as part of ICCM 2020\n\n\nAbstract\nIn this talk\, we will
discuss rigidity problem of ancient solutions of the mean curvature flow w
ith arbitrary codimension in space forms. We first prove that under certai
n sharp pointwise curvature pinching condition the ancient solution in a s
phere is either a shrinking spherical cap or a totally geodesic sphere. Th
en we show that under certain pointwise curvature pinching condition the a
ncient solution in a hyperbolic space is a family of shrinking spheres. We
also obtain a rigidity result for ancient solutions in a nonnegatively cu
rved space form under an integral curvature pinching condition. This is jo
int work with Prof. H. W. Xu and Prof. E. T. Zhao.\n
LOCATION:https://researchseminars.org/talk/iccm2020/79/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hexi Ye/叶和溪 (Zhejiang University)
DTSTART:20201229T081500Z
DTEND:20201229T090000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/80
DESCRIPTION:Title: Common prepreodic points and its application\nby Hexi Ye/叶和溪 (
Zhejiang University) as part of ICCM 2020\n\n\nAbstract\nIn this talk\, we
briefly introduce preperiodic points in dynamics\, and then talk about th
e upper bound for the number of common preperiodic points of two quadratic
polynomials and Lattes maps. As an application\, we use this to bound the
number of torison points for a family of genus two curves. This is a join
t work with L. DeMarco and H. Krieger.\n
LOCATION:https://researchseminars.org/talk/iccm2020/80/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yalong Cao/曹亚龙
DTSTART:20201229T081500Z
DTEND:20201229T090000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/81
DESCRIPTION:Title: Gopakumar-Vafa type invariants for Calabi-Yau 4-folds\nby Yalong Cao
/曹亚龙 as part of ICCM 2020\n\n\nAbstract\nGopakumar-Vafa type invaria
nts on Calabi-Yau 4-folds (which are non-trivial only for genus zero and o
ne) are defined by Klemm-Pandharipande from Gromov-Witten theory\, and the
ir integrality is conjectured. In this talk\, I will explain how to give a
sheaf theoretical interpretation of them using counting invariants on mod
uli spaces of one dimensional stable sheaves. Based on joint works with D.
Maulik and Y. Toda.\n
LOCATION:https://researchseminars.org/talk/iccm2020/81/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yinhua Xia/夏银华 (USTC)
DTSTART:20201229T081500Z
DTEND:20201229T090000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/82
DESCRIPTION:Title: Structure preserving arbitrary Lagrangian-Eulerian discontinuous Galerki
n methods\nby Yinhua Xia/夏银华 (USTC) as part of ICCM 2020\n\n\nAb
stract\nIn this talk\, we will discuss the structure preserving properties
of the arbitrary Lagrangian-Eulerian discontinuous Galerkin (ALE-DG) meth
ods. Based on the time dependent linear affine mapping\, the ALE-DG method
s presented here maintains almost all mathematical properties of DG method
s on static grids\, such as conservation\, geometric conservation law\, en
tropy stability and optimal error estimates. Meanwhile the mesh movement f
unction requires only a very mild Lipschitz continuity and without any rem
apping. In this talk we will focus on the structure preserving property of
the ALE-DG schemes for hyperbolic conservation laws\, including the posit
ivity preserving property for Euler equations and the well-balanced proper
ty for shallow water equations. The numerical stability\, robustness and a
ccuracy of the methods will also be shown by a variety of computational ex
periments on moving meshes.\n
LOCATION:https://researchseminars.org/talk/iccm2020/82/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wenbo Sun (Virginia Tech)
DTSTART:20201229T081500Z
DTEND:20201229T090000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/83
DESCRIPTION:Title: Recurrence theorem for multiplicative systems and applications\nby W
enbo Sun (Virginia Tech) as part of ICCM 2020\n\n\nAbstract\nPoincare recu
rrence theorem is one fundamental result in a dynamical system\, which say
s that the orbit of a point on a measure-preserving system can visit the n
eighborhood of another point infinitely many times. Variations and applica
tions of this theorem have been studied extensively in the literature. In
this talk\, we discuss the recurrence properties of a multiplicative syste
m\, i.e. a system admitting a multiplicative group action instead of a con
ventional additive group action. This is a direction that has not been stu
died much in the past\, yet has many interesting applications. We will dis
cuss recent progress on this topic\, and its connections with problems in
combinatorics and number theory.\n
LOCATION:https://researchseminars.org/talk/iccm2020/83/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xiaoyi Cui 崔潇易 (Sun Yat-Sen Univ.\, Zhuhai)
DTSTART:20201229T091500Z
DTEND:20201229T100000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/84
DESCRIPTION:Title: Lie algebroid\, deformation\, and BV theories\nby Xiaoyi Cui 崔潇
易 (Sun Yat-Sen Univ.\, Zhuhai) as part of ICCM 2020\n\n\nAbstract\nForma
l geometry has been used to encode geometric data in the algebraic formula
tion of perturbative quantum field theories. We define a class of deformat
ion of (curved) L_\\infty algebras with geometric origin\, and show that t
hose deformations are connected with Lie algebroids. We also study the BV
quantization of holomorphic and topological quantum field theories built f
rom such deformed algebras.\n
LOCATION:https://researchseminars.org/talk/iccm2020/84/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daxin Xu/许大昕 (中科院晨兴数学中心)
DTSTART:20201229T091500Z
DTEND:20201229T100000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/85
DESCRIPTION:Title: Drinfeld's lemma for F-isocrystals\nby Daxin Xu/许大昕 (中科院
晨兴数学中心) as part of ICCM 2020\n\n\nAbstract\nDrinfeld's lemma f
or l-adic local systems is a fundamental result in arithmetic geometry. It
plays an important role in the Langlands correspondence for a reductive g
roup over the function field of a curve over a finite field\, pioneered by
Drinfeld for GL_2 and subsequently extended by L. Lafforgue and then V. L
afforgue. In this talk\, we will discuss Drinfeld's lemma for p-adic local
systems: overconvergent F-isocrystals. This is based on a joint work with
Kiran Kedlaya.\n
LOCATION:https://researchseminars.org/talk/iccm2020/85/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yat-Hin Suen (IBS\, Korea)
DTSTART:20201229T091500Z
DTEND:20201229T100000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/86
DESCRIPTION:Title: Tropical Lagrangian multi-section and smoothing of locally sheaves over
degenerated Calabi-Yau surfaces\nby Yat-Hin Suen (IBS\, Korea) as part
of ICCM 2020\n\n\nAbstract\nHomological mirror symmetry suggests that Lag
rangian multi-sections over an integral affine manifold with singularities
$B$ should mirror to holomorphic vector bundles. In this talk\, I will in
troduce the tropical version of Lagrangian multi-sections\, called tropica
l Lagrangian multi-sections. I will mainly focus on dimension 2. To certai
n tropical Lagrangian multi-sections over $B$\, I will construct a locally
free sheaf $E_0$ on the log Calabi-Yau surface $X_0(B)$ associated to $B$
and study the smoothability of the pair $(X_0(B)\,E_0)$. This is a joint
work with Kwokwai Chan and Ziming Ma.\n
LOCATION:https://researchseminars.org/talk/iccm2020/86/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xin Fu/傅鑫 (University of California\,Irvine)
DTSTART:20201229T091500Z
DTEND:20201229T100000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/87
DESCRIPTION:Title: Geometric Estimates for Complex Monge-Ampere Equations\nby Xin Fu/
傅鑫 (University of California\,Irvine) as part of ICCM 2020\n\n\nAbstra
ct\nWe prove uniform gradient and diameter estimates for a family of geome
tric complex Monge-Amp`ere equations. Such estimates can be applied to stu
dy geometric regularity of singular solutions of complex Monge-Amp`ere equ
ations. We also prove a uniform diameter estimate for collapsing families
of twisted K¨ahler-Einstein metrics on K¨ahler manifolds of nonnegative
Kodaira dimensions. This is a joint work with Bin Guo and Jian Song.\n
LOCATION:https://researchseminars.org/talk/iccm2020/87/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Quoc hung Nguyen (上海科技大学)
DTSTART:20201229T091500Z
DTEND:20201229T100000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/88
DESCRIPTION:Title: The Muskat equation is well-posed on the critical Sobolev space\nby
Quoc hung Nguyen (上海科技大学) as part of ICCM 2020\n\n\nAbstract\n
This talk is about a series of papers with Thomas Alazard\, devoted to the
study of solutions with critical regularity for the two-dimensional Muska
t equation. I will describe our main result\, which states that the Cauchy
problem is well-posed on the endpoint Sobolev space of L^2 functions with
three-half derivative in L^2 (locally in time for large data\, and global
ly for small enough data). This result is optimal with respect to the scal
ing of the equation. For the proof\, we introduce weighted fractional lapl
acians and use these operators to estimate the solutions for a norm which
depends on the initial data themselves. Another key ingredient of the proo
f is a null-type structure\, allowing to compensate for the degeneracy of
the parabolic behavior for large slopes.\n
LOCATION:https://researchseminars.org/talk/iccm2020/88/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhiyuan Xu/许智源 (Hangzhou Normal University)
DTSTART:20201229T091500Z
DTEND:20201229T100000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/89
DESCRIPTION:Title: The Pólya conjecture and Li-Yau inequality for higher eigenvalues\n
by Zhiyuan Xu/许智源 (Hangzhou Normal University) as part of ICCM 2020\
n\n\nAbstract\nIn this talk\, we will talk about the Pólya conjecture and
Li-Yau inequality for higher eigenvalues. We will first introduce the bac
kground and some results on higher eigenvalue problems for the Laplace ope
rator on bounded domain in the Euclidean space. Then\, we will discuss the
generalizations for those results on compact minimal submanifolds with bo
undary. We will also discuss the estimates on the number of eigenvalues of
the Schrödinger operator on compact minimal submanifolds with boundary.
This is joint work with Prof. Hongwei Xu.\n
LOCATION:https://researchseminars.org/talk/iccm2020/89/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kung-Chien Wu 吳恭儉 (National Cheng-Kung University國立成
功大學)
DTSTART:20201229T091500Z
DTEND:20201229T100000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/90
DESCRIPTION:Title: Space-time behavior of the solution to the Boltzmann equation with soft
potentials\nby Kung-Chien Wu 吳恭儉 (National Cheng-Kung University
國立成功大學) as part of ICCM 2020\n\n\nAbstract\nIn this talk\, we
will discuss the quantitative space-time behavior of the full Boltzmann eq
uation with soft potentials in the close to equilibrium setting\, under so
me velocity decay assumption\, but without any Sobolev regularity assumpti
on on the initial data.\n
LOCATION:https://researchseminars.org/talk/iccm2020/90/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dangzheng Liu/刘党政 (USTC)
DTSTART:20201229T091500Z
DTEND:20201229T100000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/91
DESCRIPTION:Title: Phase transitions for infinite products of large non-Hermitian random ma
trices\nby Dangzheng Liu/刘党政 (USTC) as part of ICCM 2020\n\n\nAb
stract\nProducts of M i.i.d. random matrices of size N relate classical li
mit theorems in Probability Theory (large M and N=1) to Lyapunov exponents
in Dynamical Systems (large M and finite N)\, and to universality in Rand
om Matrix Theory (finite M and large N). Under the two different limits of
large M and large N\, the eigenvalue statistics for the random matrix pr
oduct display Gaussian and non-Hermitian RMT universality\, respectively
. However\, what happens if both M and N go to infinity simultaneously? Th
is problem lies at the heart of understanding two kinds of universal limit
s. In this talk we examine it and investigate possible phase transitions
and critical phenomena.\n
LOCATION:https://researchseminars.org/talk/iccm2020/91/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ziyang Gao (CNRS & IMJ-PRG)
DTSTART:20201229T003000Z
DTEND:20201229T013000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/92
DESCRIPTION:Title: Bounding the number of rational points on curves\nby Ziyang Gao (CNR
S & IMJ-PRG) as part of ICCM 2020\n\n\nAbstract\nMazur conjectured\, after
Faltings’s proof of the Mordell conjecture\, that the number of rationa
l points on a curve of genus g at least 2 defined over a number field of d
egree d is bounded in terms of g\, d and the Mordell-Weil rank. In particu
lar the height of the curve is not involved. In this talk I will explain h
ow to prove this conjecture and some generalizations. I will focus on how
functional transcendence and unlikely intersections are applied in the pro
of. If time permits\, I will talk about how the dependence on d can be fur
thermore removed if we moreover assume the relative Bogomolov conjecture.
This is joint work with Vesselin Dimitrov and Philipp Habegger.\n
LOCATION:https://researchseminars.org/talk/iccm2020/92/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chao Li (Columbia University)
DTSTART:20201229T003000Z
DTEND:20201229T013000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/93
DESCRIPTION:Title: The Beilinson-Bloch conjecture for unitary Shimura varieties\nby Cha
o Li (Columbia University) as part of ICCM 2020\n\n\nAbstract\nThe Beilins
on-Bloch conjecture is a vast generalization of the celebrated Birch and S
winnerton-Dyer conjecture to higher dimensional varieties. We will motivat
e these conjectures and discuss our recent theorems for unitary Shimura va
rieties. This is joint work with Yifeng Liu.\n
LOCATION:https://researchseminars.org/talk/iccm2020/93/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhengwei Liu (Tsinghua University)
DTSTART:20201229T003000Z
DTEND:20201229T013000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/94
DESCRIPTION:Title: Subfactors--in Memory of Vaughan Jones\nby Zhengwei Liu (Tsinghua Un
iversity) as part of ICCM 2020\n\n\nAbstract\nJones initiated the modern t
heory of subfactor in early 1980s and investigated this area for his whole
academic life. Subfactor theory has both deep and broad connections with
various areas in mathematics and physics. One well-known peak in the devel
opment of subfactor theory is the discovery of the Jones polynomial\, for
which Jones won the Fields Metal in 1990. Let us travel back to the dark r
oom at the beginning of the story\, to appreciate how radically our viewp
oint has changed.\n
LOCATION:https://researchseminars.org/talk/iccm2020/94/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ming Yuan (Columbia University)
DTSTART:20201229T003000Z
DTEND:20201229T013000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/95
DESCRIPTION:Title: Complexity of High Dimensional Sparse Functions\nby Ming Yuan (Colum
bia University) as part of ICCM 2020\n\n\nAbstract\nWe investigate optimal
algorithms for estimating a general high dimensional smooth and sparse f
unction from the perspective of information based complexity. Our algorit
hms and analyses reveal several interesting characteristics for these tas
ks. In particular\, our results illustrate the potential value of experime
nt design for high dimensional problems.\n
LOCATION:https://researchseminars.org/talk/iccm2020/95/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Charlotte Chan (MIT)
DTSTART:20201229T013000Z
DTEND:20201229T023000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/96
DESCRIPTION:Title: Flag varieties and representations of p-adic groups\nby Charlotte Ch
an (MIT) as part of ICCM 2020\n\n\nAbstract\nThe intimate connection betwe
en algebraic geometry and representation theory has led to many deep and f
ruitful discoveries over the last century. I will illustrate some historic
al instances of this relationship. I will then survey recent advances in
understanding the role of geometry in the representation theory of p-adic
groups and the Langlands program.\n
LOCATION:https://researchseminars.org/talk/iccm2020/96/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hsian-Hua Tseng (Ohio State University)
DTSTART:20201229T013000Z
DTEND:20201229T023000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/97
DESCRIPTION:Title: Root constructions and Gromov-Witten theory\nby Hsian-Hua Tseng (Ohi
o State University) as part of ICCM 2020\n\n\nAbstract\nRoot constructions
are geometric ways to introduce stack structures in codimensions 0 and 1.
In this talk we review these constructions and discuss how they affect Gr
omov-Witten theory.\n\n2910349950\n
LOCATION:https://researchseminars.org/talk/iccm2020/97/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Junyi Xie (CNRS Rennes)
DTSTART:20201229T013000Z
DTEND:20201229T023000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/98
DESCRIPTION:Title: On the Zariski dense orbit conjecture\nby Junyi Xie (CNRS Rennes) as
part of ICCM 2020\n\n\nAbstract\nWe prove the following theorem. Let f be
a dominant endomorphism of a projective surface over an algebraically clo
sed field of characteristic 0. If there is no nonconstant invariant ration
al function under f\, then there exists a closed point whose orbit under f
is Zariski dense. This result gives us a positive answer to the Zariski d
ense orbit conjecture for endomorphisms of projective surfaces. We define
a new canonical topology on varieties over an algebraically closed field w
hich has finite transcendence degree over Q. We call it the adelic topolog
y. This topology is stronger than the Zariski topology and an irreducible
variety is still irreducible in this topology. Using the adelic topology\,
we propose an adelic version of the Zariski dense orbit conjecture\, whic
h is stronger than the original one and quantifies how many such orbits th
ere are. We also prove this adelic version for endomorphisms of projective
surfaces\, for endomorphisms of abelian varieties\, and split polynomial
maps. This yields new proofs of the original conjecture in the latter two
cases.\n
LOCATION:https://researchseminars.org/talk/iccm2020/98/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nike Sun (MIT)
DTSTART:20201229T030000Z
DTEND:20201229T034500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/99
DESCRIPTION:Title: Maximum independent sets on random regular graphs\nby Nike Sun (MIT)
as part of ICCM 2020\n\n\nAbstract\nWe determine the asymptotics of the i
ndependence number of the random d-regular graph for all d exceeding an ab
solute constant. The independence number is highly concentrated\, with con
stant-order fluctuations around (a*n-c*log n) for explicit constants a(d)
and c(d). Our proof rigorously confirms one-step replica symmetry breaking
heuristics for this problem.\n
LOCATION:https://researchseminars.org/talk/iccm2020/99/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yifeng Liu (Yale University)
DTSTART:20201229T030000Z
DTEND:20201229T034500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/100
DESCRIPTION:Title: Isolation of trace formulae and application to automorphic periods\
nby Yifeng Liu (Yale University) as part of ICCM 2020\n\n\nAbstract\nIn th
is talk\, we introduce some recent results on the isolation of spectra in
the trace formulae\, followed by applications in the study of some automor
phic periods\, namely the Gan-Gross-Prasad conjecture. This is a joint wor
k with Raphaël Beuzart-Plessis\, Wei Zhang\, and Xinwen Zhu.\n
LOCATION:https://researchseminars.org/talk/iccm2020/100/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wenhao Ou (Academy of Mathematics and Systems Sciences\,Chinese Ac
ademy of Sciences)
DTSTART:20201229T030000Z
DTEND:20201229T034500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/101
DESCRIPTION:Title: Projective manifolds whose tangent bundle contains a strictly nef subsh
eaf\nby Wenhao Ou (Academy of Mathematics and Systems Sciences\,Chines
e Academy of Sciences) as part of ICCM 2020\n\n\nAbstract\nAfter a theorem
of Andreatta and Wisniewski\, if the tangent bundle of a projective manif
old $X$ contains an ample subsheaf\, then $X$ is isomorphic to the project
ive space. We show that\, if the tangent bundle contains a strictly nef su
bsheaf\, then X is a projective bundle over a hyperbolic manifold. Moreove
r\, if the fundamental group of $X$ is virtually abelian\, then $X$ is iso
morphic to a projective space. This is joint with Jie Liu and Xiaokui Yang
.\n
LOCATION:https://researchseminars.org/talk/iccm2020/101/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Linhui Shen (Michigan State University)
DTSTART:20201229T030000Z
DTEND:20201229T034500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/102
DESCRIPTION:Title: Legendrian knots\, Lagrangian fillings\, and Cluster algebras\nby L
inhui Shen (Michigan State University) as part of ICCM 2020\n\n\nAbstract\
nClassifications of Legendrian knots and their exact Lagrangian fillings a
re central questions in low-dimensional contact and symplectic topology. R
ecent development suggests that one can distinguish exact Lagrangian filli
ngs by applying tools from cluster algebras. In this talk\, we focus on Le
gendrian links that are obtained as the rainbow closure of positive braids
. We prove that any positive braid Legendrian link not isotopic to a stand
ard finite type link admits infinitely many exact Lagrangian fillings. The
main techniques of its proof include cluster algebras and Chekanov-Eliash
berg differential graded algebras. This is joint work with Honghao Gao and
Daping Weng.\n
LOCATION:https://researchseminars.org/talk/iccm2020/102/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yang Li (Massachusetts Institute of Technology)
DTSTART:20201229T030000Z
DTEND:20201229T034500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/103
DESCRIPTION:Title: Exotic Calabi-Yau metrics\nby Yang Li (Massachusetts Institute of T
echnology) as part of ICCM 2020\n\n\nAbstract\nI will survey the problem o
f constructing complete Calabi-Yau metrics on noncompact manifolds\, and t
race its history from the foundational work of Tian-Yau to some more recen
t developments. Some emphasis will be given to a concrete construction of
a nontrivial Calabi-Yau metric on C^3 with maximal volume growth\, which t
urns out to be also relevant in describing collapsing Calabi-Yau metrics.\
n
LOCATION:https://researchseminars.org/talk/iccm2020/103/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yu-Wei Fan (UC Berkeley)
DTSTART:20201229T030000Z
DTEND:20201229T034500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/104
DESCRIPTION:Title: Stokes matrices\, character varieties\, and points on spheres\nby Y
u-Wei Fan (UC Berkeley) as part of ICCM 2020\n\n\nAbstract\nModuli spaces
of points on n-spheres carry natural actions of braid groups. For n=0\,1\,
and 3\, we prove that these symmetries extend to actions of mapping class
groups of positive genus surfaces\, through exceptional isomorphisms with
certain character varieties. This relies on the existence of group struct
ure for spheres in these dimensions. We also apply the exceptional isomorp
hisms to the study of Stokes matrices and exceptional collections of trian
gulated categories. Joint work with Junho Peter Whang.\n
LOCATION:https://researchseminars.org/talk/iccm2020/104/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Long Chen (University of California at Irvine)
DTSTART:20201229T030000Z
DTEND:20201229T034500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/105
DESCRIPTION:Title: Discrete Gradgrad and Divdiv Complex\nby Long Chen (University of C
alifornia at Irvine) as part of ICCM 2020\n\n\nAbstract\nWe present confor
ming finite element/virtual element complexes for grad-grad complex and di
v-div complex in three dimensions and apply to discretize the linearized t
ime-independent Einstein-Bianchi system and biharmonic equation\, respecti
vely. This is a joint work with Xuehai Huang from Shanghai University of F
inance and Economics.\n
LOCATION:https://researchseminars.org/talk/iccm2020/105/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Runze Li (The Pennsylvania State University at University Park)
DTSTART:20201229T030000Z
DTEND:20201229T034500Z
DTSTAMP:20260422T212928Z
UID:iccm2020/106
DESCRIPTION:Title: A Tuning-free Robust and Efficient Approach to High-dimensional Regress
ion\nby Runze Li (The Pennsylvania State University at University Park
) as part of ICCM 2020\n\n\nAbstract\nWe introduce a novel approach for hi
gh-dimensional regression with theoretical guarantees. The new procedure o
vercomes the challenge of tuning parameter selection of Lasso and possesse
s several appealing properties. It uses an easily simulated tuning paramet
er that automatically adapts to both the unknown random error distribution
and the correlation structure of the design matrix. It is robust with sub
stantial efficiency gain for heavy-tailed random errors while maintaining
high efficiency for normal random errors. Comparing with other alternative
robust regression procedures\, it also enjoys the property of being equiv
ariant when the response variable undergoes a scale transformation. Comput
ationally\, it can be efficiently solved via linear programming. Theoretic
ally\, under weak conditions on the random error distribution\, we establi
sh a finite-sample error bound with a near-oracle rate for the new estimat
or with the simulated tuning parameter. Our results make useful contributi
ons to mending the gap between the practice and theory of Lasso and its va
riants. We also prove that further improvement in efficiency can be achiev
ed by a second-stage enhancement with some light tuning. Our simulation re
sults demonstrate that the proposed methods often outperform cross-validat
ed Lasso in various settings."\n
LOCATION:https://researchseminars.org/talk/iccm2020/106/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Professor Shing-Tung Yau (Havard University)
DTSTART:20201227T000000Z
DTEND:20201227T013000Z
DTSTAMP:20260422T212928Z
UID:iccm2020/108
DESCRIPTION:Title: Opening Ceremony and Best Paper Award Ceremony\nby Professor Shing-
Tung Yau (Havard University) as part of ICCM 2020\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/iccm2020/108/
END:VEVENT
END:VCALENDAR