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BEGIN:VEVENT
SUMMARY:Michael Shapiro
DTSTART;VALUE=DATE-TIME:20230712T073000Z
DTEND;VALUE=DATE-TIME:20230712T090000Z
DTSTAMP;VALUE=DATE-TIME:20230925T225028Z
UID:Mos-Bei-top-seminar/1
DESCRIPTION:Title: Symplectic groupoid and Teichmuller space of closed genus two
curves (continued)\nby Michael Shapiro as part of Moscow-Beijing topol
ogy seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Mos-Bei-top-seminar/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tatiana Kozlovskaya
DTSTART;VALUE=DATE-TIME:20230719T073000Z
DTEND;VALUE=DATE-TIME:20230719T090000Z
DTSTAMP;VALUE=DATE-TIME:20230925T225028Z
UID:Mos-Bei-top-seminar/2
DESCRIPTION:Title: Braid-like group. Simplicial structure on pure singular braid
groups.\nby Tatiana Kozlovskaya as part of Moscow-Beijing topology sem
inar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Mos-Bei-top-seminar/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Seokbeom Yoon
DTSTART;VALUE=DATE-TIME:20230802T073000Z
DTEND;VALUE=DATE-TIME:20230802T090000Z
DTSTAMP;VALUE=DATE-TIME:20230925T225028Z
UID:Mos-Bei-top-seminar/3
DESCRIPTION:Title: Super-Ptolemy coordinates and C^2-torsion polynomial\nby S
eokbeom Yoon as part of Moscow-Beijing topology seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Mos-Bei-top-seminar/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eiji Ogasa
DTSTART;VALUE=DATE-TIME:20230809T073000Z
DTEND;VALUE=DATE-TIME:20230809T090000Z
DTSTAMP;VALUE=DATE-TIME:20230925T225028Z
UID:Mos-Bei-top-seminar/4
DESCRIPTION:Title: Framed links in thickened surfaces and quantum invariants of 3
-manifolds with boundary\nby Eiji Ogasa as part of Moscow-Beijing topo
logy seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Mos-Bei-top-seminar/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sergei Sergeev
DTSTART;VALUE=DATE-TIME:20230726T073000Z
DTEND;VALUE=DATE-TIME:20230726T090000Z
DTSTAMP;VALUE=DATE-TIME:20230925T225028Z
UID:Mos-Bei-top-seminar/5
DESCRIPTION:Title: Pentagon Identity and Multidimensional Integrability\nby S
ergei Sergeev as part of Moscow-Beijing topology seminar\n\nAbstract: TBA\
n
LOCATION:https://researchseminars.org/talk/Mos-Bei-top-seminar/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lin Jianfeng
DTSTART;VALUE=DATE-TIME:20230816T073000Z
DTEND;VALUE=DATE-TIME:20230816T090000Z
DTSTAMP;VALUE=DATE-TIME:20230925T225028Z
UID:Mos-Bei-top-seminar/6
DESCRIPTION:Title: Kontsevich's characteristic classes and formal smooth structur
es\nby Lin Jianfeng as part of Moscow-Beijing topology seminar\n\n\nAb
stract\nIn 2018\, Watanabe disproved the 4-dimensional Smale conjecture by
showing that the diffeomorphism group of a 4-dimensional disk relative to
its boundary is non-contractible. In Watanabe's proof he used a version o
f Kontsevich's characteristic classes to detect non-trivial smooth familie
s of disk bundles. In this talk we will show that Kontsevich's characteris
tic classes only depend the formal smooth structure\, i.e. a lift of the t
angent microbundle to a vector bundle. As an application\, we will prove t
hat for an arbitrary compact 4-manifold (with or without boundary)\, the f
orgetful map from diffeomorphism group to the homeomorphism group is not a
rational homotopy equivalence. And we will prove the same result for the
4-dimensional Euclidian space. This is joint work with Yi Xie (Peking U
niversity)\n
LOCATION:https://researchseminars.org/talk/Mos-Bei-top-seminar/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lin Dexie (Chongqing university)
DTSTART;VALUE=DATE-TIME:20230823T073000Z
DTEND;VALUE=DATE-TIME:20230823T090000Z
DTSTAMP;VALUE=DATE-TIME:20230925T225028Z
UID:Mos-Bei-top-seminar/7
DESCRIPTION:Title: Kodaira type conjecture on almost complex 4 manifolds\nby
Lin Dexie (Chongqing university) as part of Moscow-Beijing topology semina
r\n\n\nAbstract\nIn this paper\, we define a refined Dolbeault cohomology
on almost complex manifolds. We show that the condition h 1\,0 = h˜0\,1 i
mplies a symplectic structure on a compact almost complex 4 manifold\, whe
re ˜h 0\,1 is the Hodge number of the refined Dolbeault cohomology and h
1\,0 is the Hodge number of the Dolbeault cohomology defined by Cirici and
Wilson [5]. Moreover\, we prove that the condition h 1\,0 = h˜0\,1 is eq
uivalent to ∂∂¯-lemma\, which is similar to the case of compact compl
ex surfaces. Meanwhile\, unlike compact complex surfaces\, we show that on
compact almost complex 4 manifolds the equality b1 = h 0\,1 +h 1\,0 does
not hold in general.\nhttps://arxiv.org/pdf/2307.14690.pdf\n
LOCATION:https://researchseminars.org/talk/Mos-Bei-top-seminar/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tianyu Yuan
DTSTART;VALUE=DATE-TIME:20230830T073000Z
DTEND;VALUE=DATE-TIME:20230830T090000Z
DTSTAMP;VALUE=DATE-TIME:20230925T225028Z
UID:Mos-Bei-top-seminar/8
DESCRIPTION:Title: Folded Morse trees and spectral networks\nby Tianyu Yuan a
s part of Moscow-Beijing topology seminar\n\n\nAbstract\nWe present an app
roach to do Morse theory on symmetric products of surfaces\, and show its
relation to higher-dimensional Heegaard Floer homology (HDHF). As an appli
cation\, we recover the finite Hecke algebra by Morse theory. We also sket
ch the application to spectral networks. This is joint work with Ko Honda
and Yin Tian.\n
LOCATION:https://researchseminars.org/talk/Mos-Bei-top-seminar/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dilshan Wijesena
DTSTART;VALUE=DATE-TIME:20230906T073000Z
DTEND;VALUE=DATE-TIME:20230906T090000Z
DTSTAMP;VALUE=DATE-TIME:20230925T225028Z
UID:Mos-Bei-top-seminar/9
DESCRIPTION:Title: Classifying representations of the Thompson groups and the Cun
tz algebra\nby Dilshan Wijesena as part of Moscow-Beijing topology sem
inar\n\n\nAbstract\nRichard Thompson’s groups $F$\, $T$ and $V$ are one
of the most remarkable discrete infinite groups for their several unusual
properties. On the other hand\, the celebrated Cuntz algebra has many fasc
inating properties and it is known that $V$ embeds inside the Cuntz algebr
a. However\, classifying the representations of the Thompson groups and th
e Cuntz algebra have proven to be very difficult.\n\nLuckily\, thanks to t
he novel technology of Vaughan Jones\, a rich family of so-called Pythagor
ean representation of the Thompson groups and the Cuntz algebra can be con
structed by simply specifying a pair of finite-dimensional operators satis
fying a certain equality. These representations carry a powerful diagramma
tic calculus which we use to develop techniques to study their properties.
This permits to reduce very difficult questions concerning irreducibility
and equivalence of infinite-dimensional representations into problems in
finite-dimensional linear algebra. Moreover\, we introduce the Pythagorean
dimension which is a new invariant for all representations of the Cuntz a
lgebra. For each dimension $d$\, we show the irreducible classes form a mo
duli space of a real manifold of dimension $2d^2+1$. Finally\, we introduc
e the first known notion of a tensor product for representations of the Cu
ntz algebra.\n
LOCATION:https://researchseminars.org/talk/Mos-Bei-top-seminar/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sergei Lando (HSE University\, Skolkovo Institute of Science and T
echnology)
DTSTART;VALUE=DATE-TIME:20230927T073000Z
DTEND;VALUE=DATE-TIME:20230927T090000Z
DTSTAMP;VALUE=DATE-TIME:20230925T225028Z
UID:Mos-Bei-top-seminar/10
DESCRIPTION:Title: Weight systems related to Lie algebras\nby Sergei Lando (
HSE University\, Skolkovo Institute of Science and Technology) as part of
Moscow-Beijing topology seminar\n\n\nAbstract\nPlease check the link https
://disk.yandex.ru/i/6D1IjHqHG6mYlA\n
LOCATION:https://researchseminars.org/talk/Mos-Bei-top-seminar/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fedor Duzhin
DTSTART;VALUE=DATE-TIME:20230913T073000Z
DTEND;VALUE=DATE-TIME:20230913T090000Z
DTSTAMP;VALUE=DATE-TIME:20230925T225028Z
UID:Mos-Bei-top-seminar/11
DESCRIPTION:Title: On two practical problems of social choice theory\nby Fed
or Duzhin as part of Moscow-Beijing topology seminar\n\n\nAbstract\nWe wil
l introduce two practical problems in the social choice theory. \nThe firs
t scenario is envy-free division. Here\, n friends are renting an n-bedroo
m apartment together. They need to split the rent and distribute the bedro
oms among themselves so that everyone is happy with their bedroom\, i.e.\,
no one would prefer someone else's room to their own (given the rent). We
will derive the existence of an envy-free division from Sperner's Lemma (
combinatorial analog of Brouwer's Fixed Point Theorem).\nThe second scenar
io is peer evaluation. Here\, n students work on a common task\, and the j
ob of the course instructor is to grade individual contributions to group
work. We assume that there exists an objective truth - a vector of individ
ual contributions that is known to students but not to the instructor. Stu
dents are required to do peer evaluation\, i.e.\, all team members report
their version of the truth. We will show then how the instructor can desig
n a method of grading that encourages students to report the truth (the co
llective truth-telling is a strict Nash equilibrium).\n
LOCATION:https://researchseminars.org/talk/Mos-Bei-top-seminar/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fengling Li
DTSTART;VALUE=DATE-TIME:20230920T073000Z
DTEND;VALUE=DATE-TIME:20230920T090000Z
DTSTAMP;VALUE=DATE-TIME:20230925T225028Z
UID:Mos-Bei-top-seminar/12
DESCRIPTION:Title: The $F$-polynomial invariant for knotoids\nby Fengling Li
as part of Moscow-Beijing topology seminar\n\n\nAbstract\nAs a generaliza
tion of the classical knots\, knotoids deal with the open ended knot diagr
am in a surface. \n\nIn recent years\, many polynomial invariants for knot
oids appeared\, such as the bracket polynomial\, the index polynomial and
the $n$th polynomial\, etc. \n\nIn this talk\, we introduce a new polynomi
al invariant $F$-polynomial for knotoids and discuss some properties of it
. This is joint work with Yi Feng.\n
LOCATION:https://researchseminars.org/talk/Mos-Bei-top-seminar/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Akio Kawauchi
DTSTART;VALUE=DATE-TIME:20231004T073000Z
DTEND;VALUE=DATE-TIME:20231004T090000Z
DTSTAMP;VALUE=DATE-TIME:20230925T225028Z
UID:Mos-Bei-top-seminar/13
DESCRIPTION:by Akio Kawauchi as part of Moscow-Beijing topology seminar\n\
nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Mos-Bei-top-seminar/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dilshan Wijesena
DTSTART;VALUE=DATE-TIME:20231025T073000Z
DTEND;VALUE=DATE-TIME:20231025T090000Z
DTSTAMP;VALUE=DATE-TIME:20230925T225028Z
UID:Mos-Bei-top-seminar/14
DESCRIPTION:by Dilshan Wijesena as part of Moscow-Beijing topology seminar
\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/Mos-Bei-top-seminar/14/
END:VEVENT
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