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BEGIN:VEVENT
SUMMARY:Elisabeth Werner (Case Western Reserve University)
DTSTART;VALUE=DATE-TIME:20200414T143000Z
DTEND;VALUE=DATE-TIME:20200414T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/1
DESCRIPTION:Title: Co
nstrained convex bodies with maximal affine surface area\nby Elisabeth
Werner (Case Western Reserve University) as part of Online asymptotic geo
metric analysis seminar\n\n\nAbstract\nGiven a convex body K in R^n\, we s
tudy the maximal affine surface area of K\, i.e.\, the quantity AS(K) = su
p_{C} as(C) where as(C) denotes the affine surface area of C\, and the sup
remum is taken over all convex subsets of K. In particular\, we give asymp
totic estimates on the size of AS(K).\n
LOCATION:https://researchseminars.org/talk/OAGAS/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Károly Böröczky (Central European University)
DTSTART;VALUE=DATE-TIME:20200418T153000Z
DTEND;VALUE=DATE-TIME:20200418T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/2
DESCRIPTION:Title: Sy
mmetry and Structure within the Log-Brunn-Minkowski Conjecture\nby Ká
roly Böröczky (Central European University) as part of Online asymptotic
geometric analysis seminar\n\n\nAbstract\nAfter reviewing some formulatio
ns of the Log-Brunn-Minkowski Conjecture in R^n in terms of Monge-Ampere e
quations\, of Hilbert Operator and of Brunn-Minkowski Theory\, I will repo
rt on some recent advances\, like Livshyts' and Kolesnikov's improvement o
n the fundamental approach of Milman and Kolesnikov\, and the verification
of the conjecture for bodies with n hyperplane symmetries by Kalantzopoul
os and myself using an idea due to Bathe and Fradelizi.\n
LOCATION:https://researchseminars.org/talk/OAGAS/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Uri Grupel (University of Innsbruk)
DTSTART;VALUE=DATE-TIME:20200421T143000Z
DTEND;VALUE=DATE-TIME:20200421T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/3
DESCRIPTION:Title: Me
tric distortion of random spaces\nby Uri Grupel (University of Innsbru
k) as part of Online asymptotic geometric analysis seminar\n\n\nAbstract\n
We consider a random set in the unit circle. Is the induced discrete metri
c of the set closer to that of another independent random set or to the ev
enly spaced set of the same cardinality? We measure the distortion by look
ing at the smallest bi-Lipschitz norm of all the bijections between the tw
o sets. Since the distortion between two random sets has infinite expectat
ion\, the talk will focus on the median. We show that two random sets have
"typically" smaller distortion than a random set and an evenly spaced set
.\n
LOCATION:https://researchseminars.org/talk/OAGAS/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sergey Bobkov (University of Minnesota)
DTSTART;VALUE=DATE-TIME:20200411T153000Z
DTEND;VALUE=DATE-TIME:20200411T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/4
DESCRIPTION:Title: A
Fourier-analytic approach to transport inequalities\nby Sergey Bobkov
(University of Minnesota) as part of Online asymptotic geometric analysis
seminar\n\n\nAbstract\nWe will be discussing a Fourier-analytic approach t
o optimal matching between independent samples\, with an elementary proof
of the Ajtai-Komlos-Tusnady theorem. The talk is based on a joint work wit
h Michel Ledoux.\n
LOCATION:https://researchseminars.org/talk/OAGAS/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grigoris Paouris (Texas A&M University)
DTSTART;VALUE=DATE-TIME:20200425T153000Z
DTEND;VALUE=DATE-TIME:20200425T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/5
DESCRIPTION:Title: Qu
antitative triangle law and joint normality of Lyapunov exponents for prod
ucts of Gaussian matrices\nby Grigoris Paouris (Texas A&M University)
as part of Online asymptotic geometric analysis seminar\n\n\nAbstract\nWe
will discuss spectral properties of products of independent Gaussian squar
e matrices with independent entries. Non-asymptotic results for the statis
tics of the singular values will be presented as well as the rate of conve
rgence to the triangle law. We will also show quantitative estimates on th
e asymptotic joint normality of the Lyapunov exponents. The talk is based
on a joint work with Boris Hanin.\n
LOCATION:https://researchseminars.org/talk/OAGAS/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ilaria Fragalà (Politecnico di Milano)
DTSTART;VALUE=DATE-TIME:20200428T143000Z
DTEND;VALUE=DATE-TIME:20200428T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/6
DESCRIPTION:Title: Sy
mmetry problems for variational functionals: from continuous to discrete.<
/a>\nby Ilaria Fragalà (Politecnico di Milano) as part of Online asymptot
ic geometric analysis seminar\n\n\nAbstract\nI will discuss some symmetry
problems for variational energies on the class of convex polygons with a p
rescribed number of sides\, in which the regular n-gon can be proved or is
expected to be optimal. Such symmetry results can be viewed as the “dis
crete” analogue of well-known “continuous” isoperimetric inequalitie
s with balls as optimal domains. I will focus in particular on the followi
ng topics\n\n(i) Discrete isoperimetric type inequalities\n\n(ii) Discrete
Faber-Krahn type inequalities\n\n(iii) Overdetermined boundary value prob
lems on polygons.\n
LOCATION:https://researchseminars.org/talk/OAGAS/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alina Stancu (Concordia University)
DTSTART;VALUE=DATE-TIME:20200502T153000Z
DTEND;VALUE=DATE-TIME:20200502T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/7
DESCRIPTION:Title: On
the fundamental gap and convex sets in hyperbolic space\nby Alina Sta
ncu (Concordia University) as part of Online asymptotic geometric analysis
seminar\n\n\nAbstract\nThe lower bound on the fundamental gap of the Lapl
acian on convex domains in R^n\, with Dirichlet boundary conditions\, has
a long history and has been finally settled a few years ago with parabolic
methods by Andrews and Clutterbuck. More recently\, the same lower bound\
, which depends on the diameter of the domain\, has been proved for convex
sets on the standard sphere in several stages with several groups of auth
ors\, 2016-2018. Over the past year\, together with collaborators\, we hav
e found that the gap on the hyperbolic space behaves strikingly different
and we aim to explain it\, particularly for this audience\, as a differenc
e in the nature of convex sets in H^n versus R^n or S^n.\n
LOCATION:https://researchseminars.org/talk/OAGAS/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrea Colesanti (University of Florence)
DTSTART;VALUE=DATE-TIME:20200505T143000Z
DTEND;VALUE=DATE-TIME:20200505T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/8
DESCRIPTION:Title: Br
unn-Minkowski type inequalities and affine surface area\nby Andrea Col
esanti (University of Florence) as part of Online asymptotic geometric ana
lysis seminar\n\n\nAbstract\nDoes the affine surface area verify a concavi
ty inequality of Brunn-Minkowski type? We will try to provide an answer to
this question\, and we will see that the answer depends on the dimension\
, and on the type of addition that we choose. The results presented in thi
s talk were obtained in collaboration with Karoly Boroczky\, Monika Ludwig
and Thomas Wannerer.\n
LOCATION:https://researchseminars.org/talk/OAGAS/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bo'az Klartag (Weizmann Institute)
DTSTART;VALUE=DATE-TIME:20200512T143000Z
DTEND;VALUE=DATE-TIME:20200512T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/9
DESCRIPTION:Title: Ri
gidity of Riemannian embeddings of discrete metric spaces\nby Bo'az Kl
artag (Weizmann Institute) as part of Online asymptotic geometric analysis
seminar\n\n\nAbstract\nLet M be a complete\, connected Riemannian surface
and suppose that S is a discrete subset of M. What can we learn about M f
rom the knowledge of all distances in the surface between pairs of points
of S? We prove that if the distances in S correspond to the distances in a
2-dimensional lattice\, or more generally in an arbitrary net in R^2\, th
en M is isometric to the Euclidean plane. We thus find that Riemannian emb
eddings of certain discrete metric spaces are rather rigid. A corollary is
that a subset of Z^3 that strictly contains a two-dimensional lattice can
not be isometrically embedded in any complete Riemannian surface. This is
a joint work with M. Eilat.\n
LOCATION:https://researchseminars.org/talk/OAGAS/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Monika Ludwig (Vienna Institute of Technology)
DTSTART;VALUE=DATE-TIME:20200509T153000Z
DTEND;VALUE=DATE-TIME:20200509T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/10
DESCRIPTION:Title: V
aluations on convex functions\nby Monika Ludwig (Vienna Institute of T
echnology) as part of Online asymptotic geometric analysis seminar\n\n\nAb
stract\nhttp://people.math.gatech.edu/~glivshyts6/Ludwig-abstract.pdf\n
LOCATION:https://researchseminars.org/talk/OAGAS/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Olivier Guedon (Marne-la-Vallée)
DTSTART;VALUE=DATE-TIME:20200519T143000Z
DTEND;VALUE=DATE-TIME:20200519T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/11
DESCRIPTION:Title: F
loating bodies and random polytopes\nby Olivier Guedon (Marne-la-Vall
ée) as part of Online asymptotic geometric analysis seminar\n\n\nAbstract
\nI will present some results about the geometry of centrally-symmetric ra
ndom polytopes\, generated by $N$ independent copies of a random vector $X
$ taking values in $\\R^n$. Under minimal assumptions on $X$\, for $N \\gt
rsim n$ and with high probability\, the polytope contains a deterministic
set that is naturally associated with the random vector---namely\, the pol
ar of a certain floating body. This solves the long-standing question on w
hether such a random polytope contains a canonical body. This is joint wor
k with F. Krahmer\, C. Kummerle\, S. Mendelson and H\; Rauhut.\n
LOCATION:https://researchseminars.org/talk/OAGAS/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vitali Milman and Liran Rotem (TAU\, Technion)
DTSTART;VALUE=DATE-TIME:20200523T153000Z
DTEND;VALUE=DATE-TIME:20200523T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/12
DESCRIPTION:Title: N
ovel view on classical convexity theory\nby Vitali Milman and Liran Ro
tem (TAU\, Technion) as part of Online asymptotic geometric analysis semin
ar\n\n\nAbstract\nIn this talk we will introduce and study the class of fl
owers. A flower in R^n is an arbitrary union of balls which contain the or
igin. While flowers are not necessarily convex\, they are in one to one co
rrespond with the class of convex bodies containing the origin\, so by stu
dying flowers we are also studying convex bodies from a new viewpoint. We
will give several equivalent definitions of flowers and describe some of t
heir basic properties. We will also discuss how to apply an arbitrary (rea
l) function to a flower\, and the corresponding construction for convex bo
dies. In particular\, we will explain how to raise a flower to a given pow
er. Finally\, we will discuss some elements of the asymptotic theory of fl
owers. In particular we will present a Dvoretzky-type theorem for flowers
which actually gives better estimates than the corresponding estimates for
convex bodies. Based on two papers by the speakers\, the first of which i
s joint with E. Milman.\n
LOCATION:https://researchseminars.org/talk/OAGAS/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexandros Eskenazis (Institut de Mathématiques de Jussieu)
DTSTART;VALUE=DATE-TIME:20200526T143000Z
DTEND;VALUE=DATE-TIME:20200526T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/13
DESCRIPTION:Title: T
he dimensional Brunn-Minkowski inequality in Gauss space\nby Alexandro
s Eskenazis (Institut de Mathématiques de Jussieu) as part of Online asym
ptotic geometric analysis seminar\n\n\nAbstract\nWe will present a complet
e proof of the dimensional Brunn-Minkowski inequality for origin symmetric
convex sets in Gauss space. This settles a problem raised by Gardner and
Zvavitch (2010). The talk is based on joint work with G. Moschidis.\n
LOCATION:https://researchseminars.org/talk/OAGAS/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yair Shenfeld (Princeton University)
DTSTART;VALUE=DATE-TIME:20200602T143000Z
DTEND;VALUE=DATE-TIME:20200602T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/14
DESCRIPTION:Title: T
he extremal structures of the Alexandrov-Fenchel inequality\nby Yair S
henfeld (Princeton University) as part of Online asymptotic geometric anal
ysis seminar\n\n\nAbstract\nThe Alexandrov-Fenchel inequality is one of th
e fundamental results in the theory of convex bodies. Yet its equality cas
es\, which are solutions to isoperimetric-type problems\, have been open f
or more than 80 years. I will discuss recent progress on this problem wher
e we confirm some conjectures by R. Schneider. Joint work with Ramon van H
andel.\n
LOCATION:https://researchseminars.org/talk/OAGAS/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Timothy Gowers (Cambridge University)
DTSTART;VALUE=DATE-TIME:20200530T153000Z
DTEND;VALUE=DATE-TIME:20200530T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/15
DESCRIPTION:Title: H
igh-dimensional tennis balls\nby Timothy Gowers (Cambridge University)
as part of Online asymptotic geometric analysis seminar\n\n\nAbstract\nIn
this talk\, it will be explained what a high-dimensional tennis ball is\,
how one can construct it and its connection to V. Milman's question about
well-complemented almost Euclidean subspaces of spaces uniformly isomorph
ic to $\\ell_2^n$.\n
LOCATION:https://researchseminars.org/talk/OAGAS/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Julian Haddad (Federal University of Minas Gerais)
DTSTART;VALUE=DATE-TIME:20200613T153000Z
DTEND;VALUE=DATE-TIME:20200613T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/16
DESCRIPTION:Title: F
rom affine Poincaré inequalities to affine spectral inequalities\nby
Julian Haddad (Federal University of Minas Gerais) as part of Online asymp
totic geometric analysis seminar\n\n\nAbstract\nWe develop the basic theor
y of $p$-Rayleigh quotients in bounded domains\, in the affine case\, for
$p \\geq 1$. We establish p-affine versions of the affine Poincaré inequa
lity and introduce the affine invariant $p$-Laplace operator $\\Delta_p^{\
\mathcal A}$ defining the Euler-Lagrange equation of the minimization prob
lem. For $p=1$ we obtain the existence of affine Cheeger sets and study pr
eliminary results towards a possible spectral characterization of John's p
osition.\n
LOCATION:https://researchseminars.org/talk/OAGAS/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Semyon Alesker (Tel Aviv University)
DTSTART;VALUE=DATE-TIME:20200616T143000Z
DTEND;VALUE=DATE-TIME:20200616T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/17
DESCRIPTION:Title: M
ultiplicative structure on valuations and its analogues over local fields.
\nby Semyon Alesker (Tel Aviv University) as part of Online asymptotic
geometric analysis seminar\n\n\nAbstract\nValuation on convex sets is a c
lassical notion of convex geometry. Multiplicative structure on translatio
n invariant smooth valuations was introduced by the speaker years ago. Sin
ce then several non-trivial properties of it have been discovered as well
as a few applications to integral geometry. In the first part of the talk
we will review some of these properties. Then we discuss analogues of the
algebra of even translation invariant valuations over other locally compac
t (e.g. complex\, p-adic) fields. While any interpretation of these new al
gebras is missing at the moment\, their properties seem (to the speaker) t
o be non-trivial and having some intrinsic beauty.\n
LOCATION:https://researchseminars.org/talk/OAGAS/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark Meckes (Case Western Reserve University)
DTSTART;VALUE=DATE-TIME:20200606T153000Z
DTEND;VALUE=DATE-TIME:20200606T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/18
DESCRIPTION:Title: M
agnitude and intrinsic volumes of convex bodies\nby Mark Meckes (Case
Western Reserve University) as part of Online asymptotic geometric analysi
s seminar\n\n\nAbstract\nMagnitude is an isometric invariant of metric spa
ces with origins in category theory. Although it is very difficult to exac
tly compute the magnitude of interesting subsets of Euclidean space\, it c
an be shown that magnitude\, or more precisely its behavior with respect t
o scaling\, recovers many classical geometric invariants\, such as volume\
, surface area\, and Minkowski dimension. I will survey what is known abou
t this\, including results of Barcelo--Carbery\, Gimperlein--Goffeng\, Lei
nster\, Willerton\, and myself\, and sketch the proof of an upper bound fo
r the magnitude of a convex body in Euclidean space in terms of intrinsic
volumes.\n
LOCATION:https://researchseminars.org/talk/OAGAS/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Galyna Livshyts (Georgia Tech)
DTSTART;VALUE=DATE-TIME:20200516T153000Z
DTEND;VALUE=DATE-TIME:20200516T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/19
DESCRIPTION:Title: O
n the Log-Brunn-Minkowski conjecture and related questions\nby Galyna
Livshyts (Georgia Tech) as part of Online asymptotic geometric analysis se
minar\n\n\nAbstract\nWe shall discuss the Log-Brunn-Minkowski conjecture\,
a conjectured strengthening of the Brunn-Minkowski inequality proposed by
Boroczky\, Lutwak\, Yang and Zhang\, focusing on the local versions of th
is and related questions. The discussion will involve introduction and exp
lanation of how the local version of the conjecture arises naturally\, a c
ollection of ‘’hands on’’ examples and elementary geometric tricks
leading to various related partial results\, statements of related questi
ons as well as a discussion of more technically involved approaches and re
sults. Based on a variety of joint results with several authors\, namely\,
Colesanti\, Hosle\, Kolesnikov\, Marsiglietti\, Nayar\, Zvavitch. REMARK:
THIS TALK IS A LAST MINUTE REPLACEMENT OF THE EARLIER ANNOUNCED TALK BY T
IKHOMIROV\; TIKOMIROV'S TALK IS NOW SCHEDULED FOR JULY\, 7.\n
LOCATION:https://researchseminars.org/talk/OAGAS/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matthieu Fradelizi (Marne-la-Vallée\, Paris)
DTSTART;VALUE=DATE-TIME:20200609T143000Z
DTEND;VALUE=DATE-TIME:20200609T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/20
DESCRIPTION:Title: V
olume product\, polytopes and finite dimensional Lipschitz-free spaces.\nby Matthieu Fradelizi (Marne-la-Vallée\, Paris) as part of Online asym
ptotic geometric analysis seminar\n\n\nAbstract\nWe shall present some res
ults on the volume product of polytopes\, including the question of its ma
ximum among polytopes with a fixed number of vertices. Then we shall focus
on the polytopes that are unit balls of Lipschitz-free Banach spaces asso
ciated to finite metric spaces. We characterize when these polytopes are H
anner polytopes and when two such polytopes are isometric to each others.
We also also study the maximum of the volume product in this class. Based
on joint works with Matthew Alexander\, Luis C. Garcia-Lirola and Artem Zv
avitch.\n
LOCATION:https://researchseminars.org/talk/OAGAS/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elizabeth Meckes (Case Western Reserve University)
DTSTART;VALUE=DATE-TIME:20200623T143000Z
DTEND;VALUE=DATE-TIME:20200623T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/21
DESCRIPTION:Title: O
n the eigenvalues of Brownian motion on \\mathbb{U}(n)\nby Elizabeth M
eckes (Case Western Reserve University) as part of Online asymptotic geome
tric analysis seminar\n\n\nAbstract\nMuch recent work in the study of rand
om matrices has focused on the non-asymptotic theory\; that is\, the study
of random matrices of fixed\, large size. I will discuss one such example
: the eigenvalues of unitary Brownian motion. I will describe an approach
which gives uniform quantitative almost-sure estimates over fixed time int
ervals of the distance between the random spectral measures of this parame
trized family of random matrices and the corresponding measures in a deter
ministic parametrized family \\{\\nu_t\\}_{t\\ge 0} of large-n limiting me
asures. I will also discuss larger time scales. This is joint work with Ta
i Melcher.\n
LOCATION:https://researchseminars.org/talk/OAGAS/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elizaveta Rebrova (UCLA)
DTSTART;VALUE=DATE-TIME:20200627T153000Z
DTEND;VALUE=DATE-TIME:20200627T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/22
DESCRIPTION:Title: M
odewise methods for tensor dimension reduction\nby Elizaveta Rebrova (
UCLA) as part of Online asymptotic geometric analysis seminar\n\n\nAbstrac
t\nAlthough tensors are a natural multi-modal extension of matrices\, goin
g beyond two modes (that is\, rows and columns) presents many interesting
non-trivialities. For example\, the notion of singular values is no longer
well-defined\, and there are various versions of the rank. One of the mos
t natural (and mathematically challenging) definitions of the tensor rank
is so-called CP-rank: for a tensor X\, it is a minimal number of rank one
tensors whose linear combination constitutes X. Main focus of my talk will
be an extension of the celebrated Johnson-Lindenstrauss lemma to low CP-r
ank tensors. Namely\, I will discuss how modewise randomized projections c
an preserve tensor geometry in the subspace oblivious way (that is\, a pro
jection model is not adapted for a particular tensor subspace). Modewise m
ethods are especially interesting for the tensors as they preserve the mul
ti-modal structure of the data\, acting on a tensor directly\, without ini
tial conversion of tensors to matrices or vectors. I will also discuss an
application for the least squares fitting CP model for tensors. Based on o
ur joint work with Mark Iwen\, Deanna Needell\, and Ali Zare.\n
LOCATION:https://researchseminars.org/talk/OAGAS/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Orli Herscovici (University of Haifa)
DTSTART;VALUE=DATE-TIME:20200620T153000Z
DTEND;VALUE=DATE-TIME:20200620T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/23
DESCRIPTION:Title: T
he best constant in the Khinchine inequality for slightly dependent random
variables\nby Orli Herscovici (University of Haifa) as part of Online
asymptotic geometric analysis seminar\n\n\nAbstract\nWe solve the open pr
oblem of determining the best constant in the Khintchine inequality under
condition that the Rademacher random variables are slightly dependent. We
also mention some applications in statistics of the above result. The talk
is based on a joint work with Susanna Spektor.\n
LOCATION:https://researchseminars.org/talk/OAGAS/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter van Hintum (Cambridge University)
DTSTART;VALUE=DATE-TIME:20200630T143000Z
DTEND;VALUE=DATE-TIME:20200630T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/25
DESCRIPTION:Title: S
harp stability of the Brunn-Minkowski inequality\nby Peter van Hintum
(Cambridge University) as part of Online asymptotic geometric analysis sem
inar\n\n\nAbstract\nWe consider recent results concerning the stability of
the classic Brunn-Minkowski inequality. In particular we shall focus on t
he linear stability for homothetic sets. Resolving a conjecture of Figalli
and Jerison\, we show there are constants C\,d>0 depending only on n such
that for every subset A of R^n of positive measure\, if |(A+A)/2 - A| <=
d |A|\, then |co(A) - A| <= C |(A+A)/2 - A| where co(A) is the convex hull
of A. The talk is based on joint work with Hunter Spink and Marius Tiba.\
n
LOCATION:https://researchseminars.org/talk/OAGAS/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marton Naszodi (Alfred Renyi Inst. of Math. and Eotvos Univ.\, Bud
apest\, Hungary)
DTSTART;VALUE=DATE-TIME:20200829T153000Z
DTEND;VALUE=DATE-TIME:20200829T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/26
DESCRIPTION:Title: S
ome new quantitative Helly-type theorems\nby Marton Naszodi (Alfred Re
nyi Inst. of Math. and Eotvos Univ.\, Budapest\, Hungary) as part of Onlin
e asymptotic geometric analysis seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/OAGAS/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kateryna Tatarko (Texas A&M)
DTSTART;VALUE=DATE-TIME:20200901T143000Z
DTEND;VALUE=DATE-TIME:20200901T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/27
DESCRIPTION:Title: O
n the unique determination of ellipsoids by dual intrinsic volumes\nby
Kateryna Tatarko (Texas A&M) as part of Online asymptotic geometric analy
sis seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/OAGAS/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adam Kashlak (University of Alberta)
DTSTART;VALUE=DATE-TIME:20200905T153000Z
DTEND;VALUE=DATE-TIME:20200905T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/28
DESCRIPTION:Title: A
nalytic Permutation Testing via Kahane--Khintchine Inequalities\nby Ad
am Kashlak (University of Alberta) as part of Online asymptotic geometric
analysis seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/OAGAS/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grigoriy Ivanov (IST Wien and MIPT\, Moscow\, Russia)
DTSTART;VALUE=DATE-TIME:20200908T143000Z
DTEND;VALUE=DATE-TIME:20200908T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/29
DESCRIPTION:Title: J
ohn's ellipsoid of a log-concave function\nby Grigoriy Ivanov (IST Wie
n and MIPT\, Moscow\, Russia) as part of Online asymptotic geometric analy
sis seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/OAGAS/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Masha Gordina (University of Connecticut)
DTSTART;VALUE=DATE-TIME:20200912T153000Z
DTEND;VALUE=DATE-TIME:20200912T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/30
DESCRIPTION:Title: U
niform doubling on SU(2) and beyond\nby Masha Gordina (University of C
onnecticut) as part of Online asymptotic geometric analysis seminar\n\nAbs
tract: TBA\n
LOCATION:https://researchseminars.org/talk/OAGAS/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Santosh Vempala (Georgia Tech)
DTSTART;VALUE=DATE-TIME:20200915T143000Z
DTEND;VALUE=DATE-TIME:20200915T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/31
DESCRIPTION:Title: R
educing Isotropy to KLS: An n^3\\psi^2 Volume Algorithm\nby Santosh Ve
mpala (Georgia Tech) as part of Online asymptotic geometric analysis semin
ar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/OAGAS/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ferenc Fodor (University of Szeged)
DTSTART;VALUE=DATE-TIME:20200919T153000Z
DTEND;VALUE=DATE-TIME:20200919T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/32
DESCRIPTION:Title: S
trengthened inequalities for the mean width and the $\\ell$-norm\nby F
erenc Fodor (University of Szeged) as part of Online asymptotic geometric
analysis seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/OAGAS/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bo Berndtsson (Chalmers University)
DTSTART;VALUE=DATE-TIME:20200825T143000Z
DTEND;VALUE=DATE-TIME:20200825T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/33
DESCRIPTION:Title: C
omplex integrals and Kuperberg's proof of the Bourgain-Milman theorem\
nby Bo Berndtsson (Chalmers University) as part of Online asymptotic geome
tric analysis seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/OAGAS/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dan Mikulincer (Weizmann Institute of Science)
DTSTART;VALUE=DATE-TIME:20200922T143000Z
DTEND;VALUE=DATE-TIME:20200922T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/34
DESCRIPTION:Title: S
tability of Stein kernels\, moment maps and invariant measures\nby Dan
Mikulincer (Weizmann Institute of Science) as part of Online asymptotic g
eometric analysis seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/OAGAS/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Konstantin Tikhomirov (Georgia Tech)
DTSTART;VALUE=DATE-TIME:20200929T143000Z
DTEND;VALUE=DATE-TIME:20200929T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/35
DESCRIPTION:Title: N
on-asymptotic bound for the smallest singular value of powers of random ma
trices\nby Konstantin Tikhomirov (Georgia Tech) as part of Online asym
ptotic geometric analysis seminar\n\n\nAbstract\nI will discuss a joint wo
rk with H.Huang on the smallest singular value of powers of Gaussian matri
ces and challenges in extending the obtained bound to non-Gaussian setting
.\n
LOCATION:https://researchseminars.org/talk/OAGAS/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paata Ivanisvili (North Carolina State University)
DTSTART;VALUE=DATE-TIME:20201006T143000Z
DTEND;VALUE=DATE-TIME:20201006T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/36
DESCRIPTION:Title: E
nflo’s problem\nby Paata Ivanisvili (North Carolina State University
) as part of Online asymptotic geometric analysis seminar\n\nAbstract: TBA
\n
LOCATION:https://researchseminars.org/talk/OAGAS/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Keith Ball (University of Warwick)
DTSTART;VALUE=DATE-TIME:20201013T143000Z
DTEND;VALUE=DATE-TIME:20201013T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/37
DESCRIPTION:Title: R
ational approximations to the zeta function\nby Keith Ball (University
of Warwick) as part of Online asymptotic geometric analysis seminar\n\nAb
stract: TBA\n
LOCATION:https://researchseminars.org/talk/OAGAS/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Naomi Feldheim (Bar Ilan University)
DTSTART;VALUE=DATE-TIME:20201020T143000Z
DTEND;VALUE=DATE-TIME:20201020T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/38
DESCRIPTION:by Naomi Feldheim (Bar Ilan University) as part of Online asym
ptotic geometric analysis seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/OAGAS/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rafal Latala (University of Warsaw)
DTSTART;VALUE=DATE-TIME:20201027T143000Z
DTEND;VALUE=DATE-TIME:20201027T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/39
DESCRIPTION:Title: O
rder Statistics of Log-Concave Vectors\nby Rafal Latala (University of
Warsaw) as part of Online asymptotic geometric analysis seminar\n\n\nAbst
ract\nI will discuss two-sided bounds for expectations of order statistics
(k-th maxima) of moduli of coordinates of centered log-concave random vec
tors with uncorrelated coordinates. Our bounds are exact up to multiplicat
ive universal constants in the unconditional case for all k and in the iso
tropic case for k = n-cn^{5/6}. We also present two-sided estimates for ex
pectations of sums of k largest moduli of coordinates for some classes of
random vectors. Joint work with Marta Strzelecka.\n
LOCATION:https://researchseminars.org/talk/OAGAS/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Roysdon\, Jesus Yepes Nicolas (Tel Aviv University)
DTSTART;VALUE=DATE-TIME:20201103T153000Z
DTEND;VALUE=DATE-TIME:20201103T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/40
DESCRIPTION:Title: F
urther inequalities for the Wills functional of convex bodies\nby Mich
ael Roysdon\, Jesus Yepes Nicolas (Tel Aviv University) as part of Online
asymptotic geometric analysis seminar\n\n\nAbstract\nMichael Roysdon\, Tel
Aviv University\, Israel\n\nTopic:$L_p$-Brunn-Minkoswki type inequalities
and an $L_p$-Borell-Brascamp-Lieb inequality\, 10:30-10:50\n\nAbstract: t
he classical Brunn-Minkowski inequality asserts that the volume of convex
Minkowski combination exhibits (1/n)-concavity when applied for any pair o
f convex bodies (or more generally\, Borel sets). Many advancements of thi
s inequality have been studied throughout the year\, famous examples of su
ch mathematicians who pursued these studies are Prekopa\, Leindler\, and B
rascamp and Lieb. The goal of this talk is to introduce the "L_p" versions
of such inequalities following the L_p-Minkowski sum introduced by Firey
(and later more generally by Lutwak\, Yang\, and Zhang)\, as well as it's
associated L_p_ Brunn-Minkowksi inequality. In particular\, we show that s
uch inequalities hold in the class of s-concave measures\, and discuss the
related isoperimetric inequality (joint with S. Xing).\n\nJesús Yepes Ni
colás\, Universidad de Murcia\, Spain\n\nTopic: Further inequalities for
the Wills functional of convex bodies.\n\nAbstract: The Wills functional o
f a convex body\, defined as the sum of its intrinsic volumes\, turned out
to have many interesting applications and properties. In this talk\, maki
ng profit of the fact that it can be represented as the integral of a log-
concave function\, which is furthermore the Asplund product of other two l
og-concave functions\, we will show new properties of the Wills functional
. Among others\, we get Brunn-Minkowski and Rogers-Shephard type inequalit
ies for this functional and show that the cube of edge-length 2 maximizes
it among all 0-symmetric convex bodies in John position. Joint work with D
avid Alonso-Guti�rrez and Mar�a A. Hern�ndez Cifre.\n
LOCATION:https://researchseminars.org/talk/OAGAS/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dima Faifman (Tel Aviv University)
DTSTART;VALUE=DATE-TIME:20201110T153000Z
DTEND;VALUE=DATE-TIME:20201110T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/41
DESCRIPTION:Title: C
rofton formulas in isotropic pseudo-Riemannian spaces\nby Dima Faifman
(Tel Aviv University) as part of Online asymptotic geometric analysis sem
inar\n\n\nAbstract\nThe length of a curve in the plane can be computed by
counting the intersection points with a line\, and integrating over all li
nes. More generally\, the intrinsic volumes (quermassintegrals) of a subse
t of Euclidean space can be computed by Crofton integrals\, bringing forth
their fundamental role in integral geometry. In spherical and hyperbolic
geometry\, such formulas are also known and classical. In pseudo-Riemannia
n isotropic spaces\, such as de Sitter or anti-de Sitter space\, one can s
imilarly ask for an integral-geometric formula for the volume of a submani
fold\, or more generally for the intrinsic volumes of a subset\, which wer
e introduced only recently. I will explain how to obtain and apply such fo
rmulas\, and how in fact there is a universal Crofton formula depending on
a complex parameter extending the Riemannian Crofton formulas\, for which
all indefinite signatures are distributional boundary values. This is a j
oint work in progress with Andreas Bernig and Gil Solanes.\n
LOCATION:https://researchseminars.org/talk/OAGAS/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark Sellke (Stanford University)
DTSTART;VALUE=DATE-TIME:20201117T153000Z
DTEND;VALUE=DATE-TIME:20201117T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/42
DESCRIPTION:Title: C
hasing Convex Bodies\nby Mark Sellke (Stanford University) as part of
Online asymptotic geometric analysis seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/OAGAS/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kasia Wyczesany (Tel Aviv University)
DTSTART;VALUE=DATE-TIME:20201124T153000Z
DTEND;VALUE=DATE-TIME:20201124T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/43
DESCRIPTION:Title: E
xistence of potentials for non-traditional cost functions\nby Kasia Wy
czesany (Tel Aviv University) as part of Online asymptotic geometric analy
sis seminar\n\n\nAbstract\nIn this talk\, we will present a new approach t
o the problem of existence of a potential for the optimal transport proble
m and apply it to non-traditional cost functions (i.e. costs that may atta
in infinite values). As a by-product\, we give a new transparent proof of
Rockafellar-Ruschendorf theorem. As an example of a non-traditional cost\,
we discuss the polar cost\, which is particularly interesting as it induc
es the polarity transform and the class of geometric convex functions. Thi
s is joint work with S. Artstein-Avidan and S. Sadovsky.\n
LOCATION:https://researchseminars.org/talk/OAGAS/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierre Yousseff (NYU Abu Dhabi)
DTSTART;VALUE=DATE-TIME:20201215T153000Z
DTEND;VALUE=DATE-TIME:20201215T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/44
DESCRIPTION:Title: M
ixing time of the switch chain on regular bipartite graphs\nby Pierre
Yousseff (NYU Abu Dhabi) as part of Online asymptotic geometric analysis s
eminar\n\n\nAbstract\nGiven a fixed integer d\, we consider the switch cha
in on the set of d-regular bipartite graphs on n vertices equipped with th
e uniform measure. We prove a sharp Poincar� and log-Sobolev inequality
implying that the mixing time of the switch chain is at most O(n log^2n) w
hich is optimal up to a logarithmic term. This improves on earlier results
of Kannan\, Tetali\, Vempala and Dyer et al. who obtained the bounds O(n^
13 log n) and O(n^7 log n) respectively. This is a joint work with Konstan
tin Tikhomirov.\n
LOCATION:https://researchseminars.org/talk/OAGAS/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maria Alfonseca-Cubero (University of North Dakota)
DTSTART;VALUE=DATE-TIME:20210302T153000Z
DTEND;VALUE=DATE-TIME:20210302T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/45
DESCRIPTION:by Maria Alfonseca-Cubero (University of North Dakota) as part
of Online asymptotic geometric analysis seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/OAGAS/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Susanna Spektor (Sheridan College\, Toronto)
DTSTART;VALUE=DATE-TIME:20210615T143000Z
DTEND;VALUE=DATE-TIME:20210615T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/46
DESCRIPTION:Title: O
n the applications of the Khinchine type inequality for Independent and De
pendent Poisson random variables\nby Susanna Spektor (Sheridan College
\, Toronto) as part of Online asymptotic geometric analysis seminar\n\n\nA
bstract\nWe will obtain the Khinchine type inequality for Poisson random v
ariables in two settings-when random variables are independent and when th
e sum of them is equal to a fixed number. We will look at the applications
of these inequalities in Statistics.\n
LOCATION:https://researchseminars.org/talk/OAGAS/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emanuel Milman (Technion\, Haifa)
DTSTART;VALUE=DATE-TIME:20201208T153000Z
DTEND;VALUE=DATE-TIME:20201208T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/47
DESCRIPTION:Title: S
harp Isoperimetric Inequalities for Affine Quermassintegrals\nby Emanu
el Milman (Technion\, Haifa) as part of Online asymptotic geometric analys
is seminar\n\n\nAbstract\nThe affine quermassintegrals associated to a con
vex body in $\\R^n$ are affine-invariant analogues of the classical intrin
sic volumes from the Brunn--Minkowski theory\, and thus constitute a centr
al pillar of affine convex geometry. They were introduced in the 1980's by
E. Lutwak\, who conjectured that among all convex bodies of a given volum
e\, the $k$-th affine quermassintegral is minimized precisely on the famil
y of ellipsoids. The known cases $k=1$ and $k=n-1$ correspond to the class
ical Blaschke--Santal\\'o and Petty projection inequalities\, respectively
. In this work we confirm Lutwak's conjecture\, including characterization
of the equality cases\, for all values of $k=1\,\\ldots\,n-1$\, in a sing
le unified framework. In fact\, it turns out that ellipsoids are the only
\\emph{local} minimizers with respect to the Hausdorff topology. In additi
on\, we address a related conjecture of Lutwak on the validity of certain
Alexandrov--Fenchel-type inequalities for affine (and more generally $L^p$
-moment) quermassintegrals. The case $p=0$ corresponds to a sharp averaged
Loomis--Whitney isoperimetric inequality. Based on joint work with Amir Y
ehudayoff.\n
LOCATION:https://researchseminars.org/talk/OAGAS/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shay Sadovsky (Tel Aviv University)
DTSTART;VALUE=DATE-TIME:20201201T153000Z
DTEND;VALUE=DATE-TIME:20201201T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/48
DESCRIPTION:Title: E
xistence of potentials for non-traditional cost functions\nby Shay Sad
ovsky (Tel Aviv University) as part of Online asymptotic geometric analysi
s seminar\n\n\nAbstract\nIn this talk\, we present a constructive method f
or finding solutions to Monge's problem of mass-transport between two meas
ures with respect to the polar cost. Our costruction\, generalizing an ide
a of Keith Ball\, utilizes a new notion of 'Hall polytopes'\, which we int
roduce. Our method applies to non-traditional transport problems\, i.e. th
ose with costs which can attain the value infinity\, as well as the classi
cal case. Based on joint work with Shiri Artstein-Avidan and Kasia Wyczesa
ny.\n\n\n* Part 1 was last week’s talk by Kasia Wyczesany. Like all talk
s\, a recording is available on the seminar’s homepage at:\nhttp://peopl
e.math.gatech.edu/~glivshyts6/AGAonline.html\n
LOCATION:https://researchseminars.org/talk/OAGAS/48/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuansi Chen (Duke University)
DTSTART;VALUE=DATE-TIME:20210105T153000Z
DTEND;VALUE=DATE-TIME:20210105T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/49
DESCRIPTION:Title: R
ecent progress on the KLS conjecture and Eldan’s stochastic localization
scheme\nby Yuansi Chen (Duke University) as part of Online asymptotic
geometric analysis seminar\n\n\nAbstract\nKannan\, Lovasz and Simonovits
(KLS) conjectured in 1993 that the Cheeger isoperimetric coefficient of an
y log-concave density is achieved by half-spaces up to a universal constan
t factor. This conjecture also implies other important conjectures such as
Bourgain's slicing conjecture (1986) and the thin-shell conjecture (2003)
. In this talk\, first we briefly survey the origin and the main consequen
ces of these conjectures. Then we present the development and the refineme
nt of the main proof technique\, namely Eldan's stochastic localization sc
heme\, which results in the current best bounds of the Cheeger isoperimetr
ic coefficient in the KLS conjecture.\n
LOCATION:https://researchseminars.org/talk/OAGAS/49/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Konstantin Drach (Aix-Marseille Universite)
DTSTART;VALUE=DATE-TIME:20210126T153000Z
DTEND;VALUE=DATE-TIME:20210126T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/51
DESCRIPTION:by Konstantin Drach (Aix-Marseille Universite) as part of Onli
ne asymptotic geometric analysis seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/OAGAS/51/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rachel Greenfeld (UCLA)
DTSTART;VALUE=DATE-TIME:20210202T163000Z
DTEND;VALUE=DATE-TIME:20210202T173000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/52
DESCRIPTION:Title: T
ranslational tilings: structure and decidability\nby Rachel Greenfeld
(UCLA) as part of Online asymptotic geometric analysis seminar\n\n\nAbstra
ct\nLet F be a finite subset of Z^d. We say that F is a translational tile
of Z^d if it is possible to cover Z^d by translates of F with no overlaps
. \nGiven a finite subset F of Z^d\, could we determine whether F is a tra
nslational tile in finite time? Suppose that F does tile\, does it admit a
periodic tiling? A well known argument of Wang shows that these two ques
tions are closely related. \nIn the talk\, we will discuss the relation b
etween periodicity and decidability\; and present some new results\, joint
with Terence Tao\, on the rigidity of tiling structures in Z^2\, and thei
r applications to decidability.\n
LOCATION:https://researchseminars.org/talk/OAGAS/52/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexey Garber (The University of Texas Rio Grande Valley)
DTSTART;VALUE=DATE-TIME:20210209T153000Z
DTEND;VALUE=DATE-TIME:20210209T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/53
DESCRIPTION:Title: C
onvex polytopes that tile space with translations: Voronoi domains and spe
ctral sets\nby Alexey Garber (The University of Texas Rio Grande Valle
y) as part of Online asymptotic geometric analysis seminar\n\n\nAbstract\n
In this talk I am going to discuss convex d-dimensional polytopes that til
e R^d with translations and their properties related to two conjectures. T
he first conjecture\, the Fuglede conjecture\, claims that every spectral
set in R^d tiles the space with translations\; this conjecture was recentl
y settled for convex domains by Lev and Matolcsi. The second conjecture\,
the Voronoi conjecture\, claims that every convex polytope that tiles R^d
with translations is the Voronoi domain for some d-dimensional lattice. Th
e conjecture originates from the Voronoi�s geometric theory of positive
definite quadratic forms and is related to many questions in mathematical
crystallography including Hilbert�s 18th problem. I mostly plan to discu
ss recent progress in the Voronoi conjecture and the proof of the conjectu
re for five-dimensional parallelohedra\; in the general setting the Vorono
i conjecture is still open. The talk is based on a joint work with Alexand
er Magazinov (Skoltech).\n
LOCATION:https://researchseminars.org/talk/OAGAS/53/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Han Huang (Georgia Institute of Technology)
DTSTART;VALUE=DATE-TIME:20210216T153000Z
DTEND;VALUE=DATE-TIME:20210216T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/54
DESCRIPTION:Title: R
ank of Sparse Bernoulli Matrices\nby Han Huang (Georgia Institute of T
echnology) as part of Online asymptotic geometric analysis seminar\n\n\nAb
stract\nLet A be an n by n Bernoulli(p) matrix with p satisfies 1<= pn/
log(n) < +infty. For a fixed positive integer k\, the probability that (n
-k+1)-th singular value of A equals 0 is (1+o(1)) of the probability that
A contains k zero columns or k zero rows.\n
LOCATION:https://researchseminars.org/talk/OAGAS/54/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Boaz Slomka (Open University at Raanana\, Israel)
DTSTART;VALUE=DATE-TIME:20210608T143000Z
DTEND;VALUE=DATE-TIME:20210608T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/55
DESCRIPTION:Title: D
iscrete variants of Brunn-Minkowski type inequalities\nby Boaz Slomka
(Open University at Raanana\, Israel) as part of Online asymptotic geometr
ic analysis seminar\n\n\nAbstract\nI will discuss a family of discrete Bru
nn-Minkowski type inequalities. As particular cases\, this family includes
the four functions theorem of Ahlswede and Daykin\, a result due to Klart
ag and Lehec\, and other variants\, both known and new\,\n\nTwo proofs wil
l be outlined\, the first is an elementary short proof and the second is a
transport proof which extends a result due to Gozlan\, Roberto\, Samson a
nd Tetali\, and which implies stronger entropic versions of our inequaliti
es. \n\nPartly based on joint work with Diana Halikias and Bo’az Klartag
\n
LOCATION:https://researchseminars.org/talk/OAGAS/55/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Litvak (University of Alberta)
DTSTART;VALUE=DATE-TIME:20210525T153000Z
DTEND;VALUE=DATE-TIME:20210525T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/56
DESCRIPTION:by Alexander Litvak (University of Alberta) as part of Online
asymptotic geometric analysis seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/OAGAS/56/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tselil Schramm (Stanford University)
DTSTART;VALUE=DATE-TIME:20210309T153000Z
DTEND;VALUE=DATE-TIME:20210309T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/57
DESCRIPTION:Title: C
omputational Barriers to Estimation from Low-Degree Polynomials\nby Ts
elil Schramm (Stanford University) as part of Online asymptotic geometric
analysis seminar\n\n\nAbstract\nOne fundamental goal of high-dimensional s
tatistics is to detect and recover structure from noisy data. But even for
simple settings (e.g. a planted low-rank matrix perturbed by noise)\, the
computational complexity of estimation is sometimes poorly understood. A
growing body of work studies low-degree polynomials as a proxy for computa
tional complexity: it has been demonstrated in various settings that low-d
egree polynomials of the data can match the statistical performance of the
best known polynomial-time algorithms for detection. But prior work has f
ailed to address settings in which there is a "detection-recovery gap" and
detection is qualitatively easier than recovery.\n\nIn this talk\, I'll d
escribe a recent result in which we extend the method of low-degree polyno
mials to address recovery problems. As applications\, we resolve (in the l
ow-degree framework) open problems about the computational complexity of r
ecovery for the planted submatrix and planted dense subgraph problems.\n\n
Based on joint work with Alex Wein.\n
LOCATION:https://researchseminars.org/talk/OAGAS/57/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark Agranovsky (Bar Ilan University)
DTSTART;VALUE=DATE-TIME:20210119T153000Z
DTEND;VALUE=DATE-TIME:20210119T163000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/58
DESCRIPTION:Title: O
n integrable domains and surfaces\nby Mark Agranovsky (Bar Ilan Univer
sity) as part of Online asymptotic geometric analysis seminar\n\n\nAbstrac
t\nIntegrability of domains or surfaces in R^n is defined in terms of sect
ional or solid volume functions\, evaluating the volumes of the intersecti
ons with affine planes or half-spaces. Study of relations between the geom
etry of domains and types of their volume functions is motivated by a prob
lem of V.I. Arnold about algebraically integrable bodies\, which in turn g
oes back to celebrated Newton's Lemma about ovals. The talk will be devote
d to a survey of some recent works in this area.\n
LOCATION:https://researchseminars.org/talk/OAGAS/58/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Semyon Alesker (Tel Aviv University)
DTSTART;VALUE=DATE-TIME:20210406T143000Z
DTEND;VALUE=DATE-TIME:20210406T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/59
DESCRIPTION:Title: N
ew inequalities for mixed volumes of convex bodies and valuations theory\nby Semyon Alesker (Tel Aviv University) as part of Online asymptotic g
eometric analysis seminar\n\n\nAbstract\nI will present a few new inequali
ties for mixed volumes of general convex bodies. In a special case they ca
n be considered as a new isoperimetric property of Euclidean ball in R^n.
The inequalities are consequences of a recent result of J. Kotrbaty on Hod
ge-Riemann type inequalities on the space of translation invariant valuati
ons on convex sets.\n
LOCATION:https://researchseminars.org/talk/OAGAS/59/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vishesh Jain (Stanford University)
DTSTART;VALUE=DATE-TIME:20210413T143000Z
DTEND;VALUE=DATE-TIME:20210413T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/60
DESCRIPTION:Title: S
ingularity of discrete random matrices\nby Vishesh Jain (Stanford Univ
ersity) as part of Online asymptotic geometric analysis seminar\n\n\nAbstr
act\nLet $M_n$ be an $n\\times n$ random matrix whose entries are i.i.d co
pies of a discrete random variable $\\xi$. It has been conjectured that th
e dominant reason for the singularity of $M_n$ is the event that a row or
column of $M_n$ is zero\, or that two rows or columns of $M_n$ coincide (u
p to a sign). I will discuss recent work\, joint with Ashwin Sah (MIT) and
Mehtaab Sawhney (MIT)\, towards the resolution of this conjecture.\n
LOCATION:https://researchseminars.org/talk/OAGAS/60/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anindya De (University of Pennsilvania)
DTSTART;VALUE=DATE-TIME:20210420T143000Z
DTEND;VALUE=DATE-TIME:20210420T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/61
DESCRIPTION:by Anindya De (University of Pennsilvania) as part of Online a
symptotic geometric analysis seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/OAGAS/61/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sudan Xing (University of Alberta)
DTSTART;VALUE=DATE-TIME:20210504T150000Z
DTEND;VALUE=DATE-TIME:20210504T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/62
DESCRIPTION:Title: T
he general dual-polar Orlicz-Minkowski problem\nby Sudan Xing (Univers
ity of Alberta) as part of Online asymptotic geometric analysis seminar\n\
n\nAbstract\nIn this talk\, the general dual-polar Orlicz-Minkowski proble
m will be presented\, which is “polar" to the recently initiated general
dual Orlicz-Minkowski problem and “dual" to the newly proposed polar Or
licz-Minkowski problem. In particular\, the existence\, continuity and uni
queness of the solutions for the general dual-polar Orlicz-Minkowski probl
em will be presented. This talk is based on a joint work with Professors D
eping Ye and Baocheng Zhu.\n
LOCATION:https://researchseminars.org/talk/OAGAS/62/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sang Woo Ryoo (Princeton University)
DTSTART;VALUE=DATE-TIME:20210511T143000Z
DTEND;VALUE=DATE-TIME:20210511T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/63
DESCRIPTION:Title: A
sharp form of Assouad's embedding theorem for Carnot groups\nby Sang
Woo Ryoo (Princeton University) as part of Online asymptotic geometric ana
lysis seminar\n\n\nAbstract\nAssouad's embedding theorem\, which embeds sn
owflakes of doubling metric spaces into Euclidean spaces\, has recently be
en sharpened in many different aspects. Following the work of Tao\, which
establishes an optimal Assouad embedding theorem for the Heisenberg group\
, we establish it for general Carnot groups. One main tool is a Nash--Mose
r type iteration scheme developed by Tao\, which we extend into the settin
g of Carnot groups. The other tool\, which is the main novelty of this pap
er\, is a certain orthonormal basis extension theorem in the setting of ge
neral doubling metric spaces. We anticipate that this latter tool could be
used for other applications.\n
LOCATION:https://researchseminars.org/talk/OAGAS/63/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wyatt Gregory (University of Missouri\, Columbia)
DTSTART;VALUE=DATE-TIME:20210504T143000Z
DTEND;VALUE=DATE-TIME:20210504T150000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/64
DESCRIPTION:Title: I
nequalities for the Derivatives of the Radon Transform on Convex Bodies\nby Wyatt Gregory (University of Missouri\, Columbia) as part of Online
asymptotic geometric analysis seminar\n\n\nAbstract\nIt has been shown tha
t the sup-norm of the Radon transform of a probability density defined on
an origin-symmetric convex body of volume 1 is bounded from below by a pos
itive constant that depends only on the dimension. Using Fourier analysis\
, we extend this estimate to the derivatives of the Radon transform. We al
so provide a comparison theorem for these derivatives.\n
LOCATION:https://researchseminars.org/talk/OAGAS/64/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maria Angeles Hernandez Cifre (Universidad de Murcia\, Spain)
DTSTART;VALUE=DATE-TIME:20210518T143000Z
DTEND;VALUE=DATE-TIME:20210518T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/65
DESCRIPTION:Title: O
n the roots of polynomials with log-convex coefficients\nby Maria Ange
les Hernandez Cifre (Universidad de Murcia\, Spain) as part of Online asym
ptotic geometric analysis seminar\n\n\nAbstract\nIn the spirit of the work
developed for the Steiner polynomial of convex bodies\, we investigate ge
ometric properties of the roots of a general family of n-th degree polynom
ials closely related to that of dual Steiner polynomials of star bodies\,
deriving\, as a consequence\, further properties for the roots of the latt
er. We study the structure of the set of roots of such polynomials\, showi
ng that it is a closed convex cone in the upper half-plane\, which covers
its interior when n tends to infinity\, and giving its precise description
for every natural n\\geq 2. This is a joint work with J. Yepes-Nicolas an
d M. Tarraga.\n
LOCATION:https://researchseminars.org/talk/OAGAS/65/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Almut Burchard (University of Toronto)
DTSTART;VALUE=DATE-TIME:20210427T143000Z
DTEND;VALUE=DATE-TIME:20210427T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/66
DESCRIPTION:by Almut Burchard (University of Toronto) as part of Online as
ymptotic geometric analysis seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/OAGAS/66/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ronen Eldan (Weizmann Institute of Science)
DTSTART;VALUE=DATE-TIME:20210601T143000Z
DTEND;VALUE=DATE-TIME:20210601T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/67
DESCRIPTION:by Ronen Eldan (Weizmann Institute of Science) as part of Onli
ne asymptotic geometric analysis seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/OAGAS/67/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Karoly Boroczky (University of Budapest)
DTSTART;VALUE=DATE-TIME:20210330T143000Z
DTEND;VALUE=DATE-TIME:20210330T153000Z
DTSTAMP;VALUE=DATE-TIME:20230925T233728Z
UID:OAGAS/68
DESCRIPTION:Title: S
tability of the Prekopa-Leindler inequality and the unconditional Logarith
mic Brunn-Minkowski Inequality\nby Karoly Boroczky (University of Buda
pest) as part of Online asymptotic geometric analysis seminar\n\n\nAbstrac
t\nRecent results about the stability of the Prekopa-Leinder inequality (w
ith Apratim De in the log-concave case\, and with Alessio Figalli and Joao
Goncalves in general) are discussed. As a consequence\, stability of the
Logarithmic Brunn-Minkowski Inequality under symmetries of a Coxeter group
is obtained.\n
LOCATION:https://researchseminars.org/talk/OAGAS/68/
END:VEVENT
END:VCALENDAR