BEGIN:VCALENDAR
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BEGIN:VEVENT
SUMMARY:Elisabeth Werner (Case Western Reserve University)
DTSTART:20200414T143000Z
DTEND:20200414T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/1
DESCRIPTION:Title: Constrained convex bodies with maximal affine surface area\nby El
isabeth Werner (Case Western Reserve University) as part of Online asympto
tic geometric analysis seminar\n\n\nAbstract\nGiven a convex body K in R^n
\, we study the maximal affine surface area of K\, i.e.\, the quantity AS(
K) = sup_{C} as(C) where as(C) denotes the affine surface area of C\, and
the supremum is taken over all convex subsets of K. In particular\, we giv
e asymptotic estimates on the size of AS(K).\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Károly Böröczky (Central European University)
DTSTART:20200418T153000Z
DTEND:20200418T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/2
DESCRIPTION:Title: Symmetry and Structure within the Log-Brunn-Minkowski Conjecture\
nby Károly Böröczky (Central European University) as part of Online asy
mptotic geometric analysis seminar\n\n\nAbstract\nAfter reviewing some for
mulations of the Log-Brunn-Minkowski Conjecture in R^n in terms of Monge-A
mpere equations\, of Hilbert Operator and of Brunn-Minkowski Theory\, I wi
ll report on some recent advances\, like Livshyts' and Kolesnikov's improv
ement on the fundamental approach of Milman and Kolesnikov\, and the verif
ication of the conjecture for bodies with n hyperplane symmetries by Kalan
tzopoulos and myself using an idea due to Bathe and Fradelizi.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Uri Grupel (University of Innsbruk)
DTSTART:20200421T143000Z
DTEND:20200421T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/3
DESCRIPTION:Title: Metric distortion of random spaces\nby Uri Grupel (University of
Innsbruk) as part of Online asymptotic geometric analysis seminar\n\n\nAbs
tract\nWe consider a random set in the unit circle. Is the induced discret
e metric of the set closer to that of another independent random set or to
the evenly spaced set of the same cardinality? We measure the distortion
by looking at the smallest bi-Lipschitz norm of all the bijections between
the two sets. Since the distortion between two random sets has infinite e
xpectation\, the talk will focus on the median. We show that two random se
ts have "typically" smaller distortion than a random set and an evenly spa
ced set.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sergey Bobkov (University of Minnesota)
DTSTART:20200411T153000Z
DTEND:20200411T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/4
DESCRIPTION:Title: A Fourier-analytic approach to transport inequalities\nby Sergey
Bobkov (University of Minnesota) as part of Online asymptotic geometric an
alysis seminar\n\n\nAbstract\nWe will be discussing a Fourier-analytic app
roach to optimal matching between independent samples\, with an elementary
proof of the Ajtai-Komlos-Tusnady theorem. The talk is based on a joint w
ork with Michel Ledoux.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grigoris Paouris (Texas A&M University)
DTSTART:20200425T153000Z
DTEND:20200425T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/5
DESCRIPTION:Title: Quantitative triangle law and joint normality of Lyapunov exponents f
or products of Gaussian matrices\nby Grigoris Paouris (Texas A&M Unive
rsity) as part of Online asymptotic geometric analysis seminar\n\n\nAbstra
ct\nWe will discuss spectral properties of products of independent Gaussia
n square matrices with independent entries. Non-asymptotic results for the
statistics of the singular values will be presented as well as the rate o
f convergence to the triangle law. We will also show quantitative estimate
s on the asymptotic joint normality of the Lyapunov exponents. The talk is
based on a joint work with Boris Hanin.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ilaria Fragalà (Politecnico di Milano)
DTSTART:20200428T143000Z
DTEND:20200428T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/6
DESCRIPTION:Title: Symmetry problems for variational functionals: from continuous to dis
crete.\nby Ilaria Fragalà (Politecnico di Milano) as part of Online a
symptotic geometric analysis seminar\n\n\nAbstract\nI will discuss some sy
mmetry problems for variational energies on the class of convex polygons w
ith a prescribed number of sides\, in which the regular n-gon can be prove
d or is expected to be optimal. Such symmetry results can be viewed as the
“discrete” analogue of well-known “continuous” isoperimetric ineq
ualities with balls as optimal domains. I will focus in particular on the
following topics\n\n(i) Discrete isoperimetric type inequalities\n\n(ii) D
iscrete Faber-Krahn type inequalities\n\n(iii) Overdetermined boundary val
ue problems on polygons.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alina Stancu (Concordia University)
DTSTART:20200502T153000Z
DTEND:20200502T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/7
DESCRIPTION:Title: On the fundamental gap and convex sets in hyperbolic space\nby Al
ina Stancu (Concordia University) as part of Online asymptotic geometric a
nalysis seminar\n\n\nAbstract\nThe lower bound on the fundamental gap of t
he Laplacian on convex domains in R^n\, with Dirichlet boundary conditions
\, has a long history and has been finally settled a few years ago with pa
rabolic 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 authors\, 2016-2018. Over the past year\, together with collaborators\,
we have found that the gap on the hyperbolic space behaves strikingly dif
ferent and we aim to explain it\, particularly for this audience\, as a di
fference in the nature of convex sets in H^n versus R^n or S^n.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrea Colesanti (University of Florence)
DTSTART:20200505T143000Z
DTEND:20200505T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/8
DESCRIPTION:Title: Brunn-Minkowski type inequalities and affine surface area\nby And
rea Colesanti (University of Florence) as part of Online asymptotic geomet
ric analysis seminar\n\n\nAbstract\nDoes the affine surface area verify a
concavity inequality of Brunn-Minkowski type? We will try to provide an an
swer to this question\, and we will see that the answer depends on the dim
ension\, and on the type of addition that we choose. The results presented
in this talk were obtained in collaboration with Karoly Boroczky\, Monika
Ludwig and Thomas Wannerer.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bo'az Klartag (Weizmann Institute)
DTSTART:20200512T143000Z
DTEND:20200512T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/9
DESCRIPTION:Title: Rigidity of Riemannian embeddings of discrete metric spaces\nby B
o'az Klartag (Weizmann Institute) as part of Online asymptotic geometric a
nalysis 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 ab
out M from 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 distanc
es in a 2-dimensional lattice\, or more generally in an arbitrary net in R
^2\, then M is isometric to the Euclidean plane. We thus find that Riemann
ian embeddings of certain discrete metric spaces are rather rigid. A corol
lary is that a subset of Z^3 that strictly contains a two-dimensional latt
ice cannot be isometrically embedded in any complete Riemannian surface. T
his is a joint work with M. Eilat.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Monika Ludwig (Vienna Institute of Technology)
DTSTART:20200509T153000Z
DTEND:20200509T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/10
DESCRIPTION:Title: Valuations on convex functions\nby Monika Ludwig (Vienna Institu
te of Technology) as part of Online asymptotic geometric analysis seminar\
n\n\nAbstract\nhttp://people.math.gatech.edu/~glivshyts6/Ludwig-abstract.pdf
\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Olivier Guedon (Marne-la-Vallée)
DTSTART:20200519T143000Z
DTEND:20200519T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/11
DESCRIPTION:Title: Floating bodies and random polytopes\nby Olivier Guedon (Marne-l
a-Vallée) as part of Online asymptotic geometric analysis seminar\n\n\nAb
stract\nI will present some results about the geometry of centrally-symmet
ric random polytopes\, generated by $N$ independent copies of a random vec
tor $X$ taking values in $\\R^n$. Under minimal assumptions on $X$\, for $
N \\gtrsim n$ and with high probability\, the polytope contains a determin
istic set that is naturally associated with the random vector---namely\, t
he polar of a certain floating body. This solves the long-standing questio
n on whether such a random polytope contains a canonical body. This is joi
nt work with F. Krahmer\, C. Kummerle\, S. Mendelson and H\; Rauhut.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vitali Milman and Liran Rotem (TAU\, Technion)
DTSTART:20200523T153000Z
DTEND:20200523T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/12
DESCRIPTION:Title: Novel view on classical convexity theory\nby Vitali Milman and L
iran Rotem (TAU\, Technion) as part of Online asymptotic geometric analysi
s seminar\n\n\nAbstract\nIn this talk we will introduce and study the clas
s of flowers. A flower in R^n is an arbitrary union of balls which contain
the origin. While flowers are not necessarily convex\, they are in one to
one correspond with the class of convex bodies containing the origin\, so
by studying flowers we are also studying convex bodies from a new viewpoi
nt. We will give several equivalent definitions of flowers and describe so
me of their basic properties. We will also discuss how to apply an arbitra
ry (real) function to a flower\, and the corresponding construction for co
nvex bodies. In particular\, we will explain how to raise a flower to a gi
ven power. Finally\, we will discuss some elements of the asymptotic theor
y of flowers. In particular we will present a Dvoretzky-type theorem for f
lowers which actually gives better estimates than the corresponding estima
tes for convex bodies. Based on two papers by the speakers\, the first of
which is joint with E. Milman.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexandros Eskenazis (Institut de Mathématiques de Jussieu)
DTSTART:20200526T143000Z
DTEND:20200526T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/13
DESCRIPTION:Title: The dimensional Brunn-Minkowski inequality in Gauss space\nby Al
exandros Eskenazis (Institut de Mathématiques de Jussieu) as part of Onli
ne asymptotic geometric analysis seminar\n\n\nAbstract\nWe will present a
complete proof of the dimensional Brunn-Minkowski inequality for origin sy
mmetric convex sets in Gauss space. This settles a problem raised by Gardn
er and Zvavitch (2010). The talk is based on joint work with G. Moschidis.
\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yair Shenfeld (Princeton University)
DTSTART:20200602T143000Z
DTEND:20200602T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/14
DESCRIPTION:Title: The extremal structures of the Alexandrov-Fenchel inequality\nby
Yair Shenfeld (Princeton University) as part of Online asymptotic geometr
ic analysis seminar\n\n\nAbstract\nThe Alexandrov-Fenchel inequality is on
e of the fundamental results in the theory of convex bodies. Yet its equal
ity cases\, which are solutions to isoperimetric-type problems\, have been
open for more than 80 years. I will discuss recent progress on this probl
em where we confirm some conjectures by R. Schneider. Joint work with Ramo
n van Handel.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Timothy Gowers (Cambridge University)
DTSTART:20200530T153000Z
DTEND:20200530T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/15
DESCRIPTION:Title: High-dimensional tennis balls\nby Timothy Gowers (Cambridge Univ
ersity) as part of Online asymptotic geometric analysis seminar\n\n\nAbstr
act\nIn this talk\, it will be explained what a high-dimensional tennis ba
ll is\, how one can construct it and its connection to V. Milman's questio
n about well-complemented almost Euclidean subspaces of spaces uniformly i
somorphic to $\\ell_2^n$.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Julian Haddad (Federal University of Minas Gerais)
DTSTART:20200613T153000Z
DTEND:20200613T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/16
DESCRIPTION:Title: From affine Poincaré inequalities to affine spectral inequalities\nby Julian Haddad (Federal University of Minas Gerais) as part of Onlin
e asymptotic geometric analysis seminar\n\n\nAbstract\nWe develop the basi
c theory of $p$-Rayleigh quotients in bounded domains\, in the affine case
\, for $p \\geq 1$. We establish p-affine versions of the affine Poincaré
inequality and introduce the affine invariant $p$-Laplace operator $\\Del
ta_p^{\\mathcal A}$ defining the Euler-Lagrange equation of the minimizati
on problem. For $p=1$ we obtain the existence of affine Cheeger sets and s
tudy preliminary results towards a possible spectral characterization of J
ohn's position.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Semyon Alesker (Tel Aviv University)
DTSTART:20200616T143000Z
DTEND:20200616T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/17
DESCRIPTION:Title: Multiplicative structure on valuations and its analogues over local
fields.\nby Semyon Alesker (Tel Aviv University) as part of Online asy
mptotic geometric analysis seminar\n\n\nAbstract\nValuation on convex sets
is a classical notion of convex geometry. Multiplicative structure on tra
nslation invariant smooth valuations was introduced by the speaker years a
go. Since then several non-trivial properties of it have been discovered a
s well as a few applications to integral geometry. In the first part of th
e talk we will review some of these properties. Then we discuss analogues
of the algebra of even translation invariant valuations over other locally
compact (e.g. complex\, p-adic) fields. While any interpretation of these
new algebras is missing at the moment\, their properties seem (to the spe
aker) to be non-trivial and having some intrinsic beauty.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark Meckes (Case Western Reserve University)
DTSTART:20200606T153000Z
DTEND:20200606T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/18
DESCRIPTION:Title: Magnitude and intrinsic volumes of convex bodies\nby Mark Meckes
(Case Western Reserve University) as part of Online asymptotic geometric
analysis seminar\n\n\nAbstract\nMagnitude is an isometric invariant of met
ric spaces with origins in category theory. Although it is very difficult
to exactly compute the magnitude of interesting subsets of Euclidean space
\, it can be shown that magnitude\, or more precisely its behavior with re
spect to scaling\, recovers many classical geometric invariants\, such as
volume\, surface area\, and Minkowski dimension. I will survey what is kno
wn about this\, including results of Barcelo--Carbery\, Gimperlein--Goffen
g\, Leinster\, Willerton\, and myself\, and sketch the proof of an upper b
ound for the magnitude of a convex body in Euclidean space in terms of int
rinsic volumes.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Galyna Livshyts (Georgia Tech)
DTSTART:20200516T153000Z
DTEND:20200516T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/19
DESCRIPTION:Title: On the Log-Brunn-Minkowski conjecture and related questions\nby
Galyna Livshyts (Georgia Tech) as part of Online asymptotic geometric anal
ysis seminar\n\n\nAbstract\nWe shall discuss the Log-Brunn-Minkowski conje
cture\, a conjectured strengthening of the Brunn-Minkowski inequality prop
osed by Boroczky\, Lutwak\, Yang and Zhang\, focusing on the local version
s of this and related questions. The discussion will involve introduction
and explanation of how the local version of the conjecture arises naturall
y\, a collection of ‘’hands on’’ examples and elementary geometric
tricks leading to various related partial results\, statements of related
questions as well as a discussion of more technically involved approaches
and results. Based on a variety of joint results with several authors\, n
amely\, Colesanti\, Hosle\, Kolesnikov\, Marsiglietti\, Nayar\, Zvavitch.
REMARK: THIS TALK IS A LAST MINUTE REPLACEMENT OF THE EARLIER ANNOUNCED TA
LK BY TIKHOMIROV\; TIKOMIROV'S TALK IS NOW SCHEDULED FOR JULY\, 7.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matthieu Fradelizi (Marne-la-Vallée\, Paris)
DTSTART:20200609T143000Z
DTEND:20200609T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/20
DESCRIPTION:Title: Volume product\, polytopes and finite dimensional Lipschitz-free spa
ces.\nby Matthieu Fradelizi (Marne-la-Vallée\, Paris) as part of Onli
ne asymptotic geometric analysis seminar\n\n\nAbstract\nWe shall present s
ome results on the volume product of polytopes\, including the question of
its maximum among polytopes with a fixed number of vertices. Then we shal
l focus on the polytopes that are unit balls of Lipschitz-free Banach spac
es associated to finite metric spaces. We characterize when these polytope
s are Hanner polytopes and when two such polytopes are isometric to each o
thers. 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 A
rtem Zvavitch.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elizabeth Meckes (Case Western Reserve University)
DTSTART:20200623T143000Z
DTEND:20200623T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/21
DESCRIPTION:Title: On the eigenvalues of Brownian motion on \\mathbb{U}(n)\nby Eliz
abeth Meckes (Case Western Reserve University) as part of Online asymptoti
c geometric analysis seminar\n\n\nAbstract\nMuch recent work in the study
of random matrices has focused on the non-asymptotic theory\; that is\, th
e study of random matrices of fixed\, large size. I will discuss one such
example: the eigenvalues of unitary Brownian motion. I will describe an ap
proach which gives uniform quantitative almost-sure estimates over fixed t
ime intervals of the distance between the random spectral measures of this
parametrized family of random matrices and the corresponding measures in
a deterministic parametrized family \\{\\nu_t\\}_{t\\ge 0} of large-n limi
ting measures. I will also discuss larger time scales. This is joint work
with Tai Melcher.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elizaveta Rebrova (UCLA)
DTSTART:20200627T153000Z
DTEND:20200627T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/22
DESCRIPTION:Title: Modewise methods for tensor dimension reduction\nby Elizaveta Re
brova (UCLA) as part of Online asymptotic geometric analysis seminar\n\n\n
Abstract\nAlthough tensors are a natural multi-modal extension of matrices
\, going beyond two modes (that is\, rows and columns) presents many inter
esting 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 most natural (and mathematically challenging) definitions of the tenso
r rank is so-called CP-rank: for a tensor X\, it is a minimal number of ra
nk one tensors whose linear combination constitutes X. Main focus of my ta
lk will be an extension of the celebrated Johnson-Lindenstrauss lemma to l
ow CP-rank tensors. Namely\, I will discuss how modewise randomized projec
tions can preserve tensor geometry in the subspace oblivious way (that is\
, a projection model is not adapted for a particular tensor subspace). Mod
ewise methods are especially interesting for the tensors as they preserve
the multi-modal structure of the data\, acting on a tensor directly\, with
out initial conversion of tensors to matrices or vectors. I will also disc
uss an application for the least squares fitting CP model for tensors. Bas
ed on our joint work with Mark Iwen\, Deanna Needell\, and Ali Zare.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Orli Herscovici (University of Haifa)
DTSTART:20200620T153000Z
DTEND:20200620T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/23
DESCRIPTION:Title: The 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 problem of determining the best constant in the Khintchine inequality
under condition that the Rademacher random variables are slightly depende
nt. We also mention some applications in statistics of the above result. T
he talk is based on a joint work with Susanna Spektor.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter van Hintum (Cambridge University)
DTSTART:20200630T143000Z
DTEND:20200630T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/25
DESCRIPTION:Title: Sharp stability of the Brunn-Minkowski inequality\nby Peter van
Hintum (Cambridge University) as part of Online asymptotic geometric analy
sis seminar\n\n\nAbstract\nWe consider recent results concerning the stabi
lity of the classic Brunn-Minkowski inequality. In particular we shall foc
us on the 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 conv
ex hull of A. The talk is based on joint work with Hunter Spink and Marius
Tiba.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marton Naszodi (Alfred Renyi Inst. of Math. and Eotvos Univ.\, Bud
apest\, Hungary)
DTSTART:20200829T153000Z
DTEND:20200829T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/26
DESCRIPTION:Title: Some new quantitative Helly-type theorems\nby Marton Naszodi (Al
fred Renyi Inst. of Math. and Eotvos Univ.\, Budapest\, Hungary) as part o
f Online asymptotic geometric analysis seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kateryna Tatarko (Texas A&M)
DTSTART:20200901T143000Z
DTEND:20200901T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/27
DESCRIPTION:Title: On the unique determination of ellipsoids by dual intrinsic volumes<
/a>\nby Kateryna Tatarko (Texas A&M) as part of Online asymptotic geometri
c analysis seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adam Kashlak (University of Alberta)
DTSTART:20200905T153000Z
DTEND:20200905T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/28
DESCRIPTION:Title: Analytic Permutation Testing via Kahane--Khintchine Inequalities
\nby Adam Kashlak (University of Alberta) as part of Online asymptotic geo
metric analysis seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grigoriy Ivanov (IST Wien and MIPT\, Moscow\, Russia)
DTSTART:20200908T143000Z
DTEND:20200908T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/29
DESCRIPTION:Title: John's ellipsoid of a log-concave function\nby Grigoriy Ivanov (
IST Wien and MIPT\, Moscow\, Russia) as part of Online asymptotic geometri
c analysis seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Masha Gordina (University of Connecticut)
DTSTART:20200912T153000Z
DTEND:20200912T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/30
DESCRIPTION:Title: Uniform doubling on SU(2) and beyond\nby Masha Gordina (Universi
ty of Connecticut) as part of Online asymptotic geometric analysis seminar
\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Santosh Vempala (Georgia Tech)
DTSTART:20200915T143000Z
DTEND:20200915T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/31
DESCRIPTION:Title: Reducing Isotropy to KLS: An n^3\\psi^2 Volume Algorithm\nby San
tosh Vempala (Georgia Tech) as part of Online asymptotic geometric analysi
s seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ferenc Fodor (University of Szeged)
DTSTART:20200919T153000Z
DTEND:20200919T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/32
DESCRIPTION:Title: Strengthened inequalities for the mean width and the $\\ell$-norm\nby Ferenc Fodor (University of Szeged) as part of Online asymptotic geo
metric analysis seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bo Berndtsson (Chalmers University)
DTSTART:20200825T143000Z
DTEND:20200825T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/33
DESCRIPTION:Title: Complex integrals and Kuperberg's proof of the Bourgain-Milman theor
em\nby Bo Berndtsson (Chalmers University) as part of Online asymptoti
c geometric analysis seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dan Mikulincer (Weizmann Institute of Science)
DTSTART:20200922T143000Z
DTEND:20200922T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/34
DESCRIPTION:Title: Stability of Stein kernels\, moment maps and invariant measures\
nby Dan Mikulincer (Weizmann Institute of Science) as part of Online asymp
totic geometric analysis seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Konstantin Tikhomirov (Georgia Tech)
DTSTART:20200929T143000Z
DTEND:20200929T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/35
DESCRIPTION:Title: Non-asymptotic bound for the smallest singular value of powers of ra
ndom matrices\nby Konstantin Tikhomirov (Georgia Tech) as part of Onli
ne asymptotic geometric analysis seminar\n\n\nAbstract\nI will discuss a j
oint work with H.Huang on the smallest singular value of powers of Gaussia
n matrices and challenges in extending the obtained bound to non-Gaussian
setting.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paata Ivanisvili (North Carolina State University)
DTSTART:20201006T143000Z
DTEND:20201006T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/36
DESCRIPTION:Title: Enflo’s problem\nby Paata Ivanisvili (North Carolina State Uni
versity) as part of Online asymptotic geometric analysis seminar\n\nAbstra
ct: TBA\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Keith Ball (University of Warwick)
DTSTART:20201013T143000Z
DTEND:20201013T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/37
DESCRIPTION:Title: Rational approximations to the zeta function\nby Keith Ball (Uni
versity of Warwick) as part of Online asymptotic geometric analysis semina
r\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Naomi Feldheim (Bar Ilan University)
DTSTART:20201020T143000Z
DTEND:20201020T153000Z
DTSTAMP:20260404T111110Z
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://stable.researchseminars.org/talk/OAGAS/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rafal Latala (University of Warsaw)
DTSTART:20201027T143000Z
DTEND:20201027T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/39
DESCRIPTION:Title: Order Statistics of Log-Concave Vectors\nby Rafal Latala (Univer
sity of Warsaw) as part of Online asymptotic geometric analysis seminar\n\
n\nAbstract\nI will discuss two-sided bounds for expectations of order sta
tistics (k-th maxima) of moduli of coordinates of centered log-concave ran
dom vectors with uncorrelated coordinates. Our bounds are exact up to mult
iplicative universal constants in the unconditional case for all k and in
the isotropic case for k = n-cn^{5/6}. We also present two-sided estimates
for expectations of sums of k largest moduli of coordinates for some clas
ses of random vectors. Joint work with Marta Strzelecka.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Roysdon\, Jesus Yepes Nicolas (Tel Aviv University)
DTSTART:20201103T153000Z
DTEND:20201103T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/40
DESCRIPTION:Title: Further inequalities for the Wills functional of convex bodies\n
by Michael Roysdon\, Jesus Yepes Nicolas (Tel Aviv University) as part of
Online asymptotic geometric analysis seminar\n\n\nAbstract\nMichael Roysdo
n\, Tel Aviv University\, Israel\n\nTopic:$L_p$-Brunn-Minkoswki type inequ
alities and an $L_p$-Borell-Brascamp-Lieb inequality\, 10:30-10:50\n\nAbst
ract: the classical Brunn-Minkowski inequality asserts that the volume of
convex Minkowski combination exhibits (1/n)-concavity when applied for any
pair of convex bodies (or more generally\, Borel sets). Many advancements
of this inequality have been studied throughout the year\, famous example
s of such mathematicians who pursued these studies are Prekopa\, Leindler\
, and Brascamp and Lieb. The goal of this talk is to introduce the "L_p" v
ersions of such inequalities following the L_p-Minkowski sum introduced by
Firey (and later more generally by Lutwak\, Yang\, and Zhang)\, as well a
s it's associated L_p_ Brunn-Minkowksi inequality. In particular\, we show
that such inequalities hold in the class of s-concave measures\, and disc
uss the related isoperimetric inequality (joint with S. Xing).\n\nJesús Y
epes Nicolás\, Universidad de Murcia\, Spain\n\nTopic: Further inequaliti
es for the Wills functional of convex bodies.\n\nAbstract: The Wills funct
ional of a convex body\, defined as the sum of its intrinsic volumes\, tur
ned out to have many interesting applications and properties. In this talk
\, making profit of the fact that it can be represented as the integral of
a log-concave function\, which is furthermore the Asplund product of othe
r two log-concave functions\, we will show new properties of the Wills fun
ctional. Among others\, we get Brunn-Minkowski and Rogers-Shephard type in
equalities for this functional and show that the cube of edge-length 2 max
imizes it among all 0-symmetric convex bodies in John position. Joint work
with David Alonso-Guti�rrez and Mar�a A. Hern�ndez Cifre.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dima Faifman (Tel Aviv University)
DTSTART:20201110T153000Z
DTEND:20201110T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/41
DESCRIPTION:Title: Crofton formulas in isotropic pseudo-Riemannian spaces\nby Dima
Faifman (Tel Aviv University) as part of Online asymptotic geometric analy
sis seminar\n\n\nAbstract\nThe length of a curve in the plane can be compu
ted by counting the intersection points with a line\, and integrating over
all lines. More generally\, the intrinsic volumes (quermassintegrals) of
a subset of Euclidean space can be computed by Crofton integrals\, bringin
g forth their fundamental role in integral geometry. In spherical and hype
rbolic geometry\, such formulas are also known and classical. In pseudo-Ri
emannian isotropic spaces\, such as de Sitter or anti-de Sitter space\, on
e can similarly ask for an integral-geometric formula for the volume of a
submanifold\, or more generally for the intrinsic volumes of a subset\, wh
ich were introduced only recently. I will explain how to obtain and apply
such formulas\, and how in fact there is a universal Crofton formula depen
ding on a complex parameter extending the Riemannian Crofton formulas\, fo
r which all indefinite signatures are distributional boundary values. This
is a joint work in progress with Andreas Bernig and Gil Solanes.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark Sellke (Stanford University)
DTSTART:20201117T153000Z
DTEND:20201117T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/42
DESCRIPTION:Title: Chasing Convex Bodies\nby Mark Sellke (Stanford University) as p
art of Online asymptotic geometric analysis seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kasia Wyczesany (Tel Aviv University)
DTSTART:20201124T153000Z
DTEND:20201124T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/43
DESCRIPTION:Title: Existence of potentials for non-traditional cost functions\nby K
asia Wyczesany (Tel Aviv University) as part of Online asymptotic geometri
c analysis seminar\n\n\nAbstract\nIn this talk\, we will present a new app
roach to the problem of existence of a potential for the optimal transport
problem and apply it to non-traditional cost functions (i.e. costs that m
ay attain infinite values). As a by-product\, we give a new transparent pr
oof of Rockafellar-Ruschendorf theorem. As an example of a non-traditional
cost\, we discuss the polar cost\, which is particularly interesting as i
t induces the polarity transform and the class of geometric convex functio
ns. This is joint work with S. Artstein-Avidan and S. Sadovsky.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierre Yousseff (NYU Abu Dhabi)
DTSTART:20201215T153000Z
DTEND:20201215T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/44
DESCRIPTION:Title: Mixing time of the switch chain on regular bipartite graphs\nby
Pierre Yousseff (NYU Abu Dhabi) as part of Online asymptotic geometric ana
lysis seminar\n\n\nAbstract\nGiven a fixed integer d\, we consider the swi
tch chain on the set of d-regular bipartite graphs on n vertices equipped
with the uniform measure. We prove a sharp Poincar� and log-Sobolev ineq
uality implying that the mixing time of the switch chain is at most O(n lo
g^2n) which is optimal up to a logarithmic term. This improves on earlier
results of Kannan\, Tetali\, Vempala and Dyer et al. who obtained the boun
ds O(n^13 log n) and O(n^7 log n) respectively. This is a joint work with
Konstantin Tikhomirov.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maria Alfonseca-Cubero (University of North Dakota)
DTSTART:20210302T153000Z
DTEND:20210302T163000Z
DTSTAMP:20260404T111110Z
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://stable.researchseminars.org/talk/OAGAS/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Susanna Spektor (Sheridan College\, Toronto)
DTSTART:20210615T143000Z
DTEND:20210615T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/46
DESCRIPTION:Title: On the applications of the Khinchine type inequality for Independent
and Dependent Poisson random variables\nby Susanna Spektor (Sheridan
College\, Toronto) as part of Online asymptotic geometric analysis seminar
\n\n\nAbstract\nWe will obtain the Khinchine type inequality for Poisson r
andom variables in two settings-when random variables are independent and
when the sum of them is equal to a fixed number. We will look at the appli
cations of these inequalities in Statistics.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emanuel Milman (Technion\, Haifa)
DTSTART:20201208T153000Z
DTEND:20201208T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/47
DESCRIPTION:Title: Sharp Isoperimetric Inequalities for Affine Quermassintegrals\nb
y Emanuel Milman (Technion\, Haifa) as part of Online asymptotic geometric
analysis seminar\n\n\nAbstract\nThe affine quermassintegrals associated t
o a convex body in $\\R^n$ are affine-invariant analogues of the classical
intrinsic volumes from the Brunn--Minkowski theory\, and thus constitute
a central pillar of affine convex geometry. They were introduced in the 19
80's by E. Lutwak\, who conjectured that among all convex bodies of a give
n volume\, the $k$-th affine quermassintegral is minimized precisely on th
e family of ellipsoids. The known cases $k=1$ and $k=n-1$ correspond to th
e classical Blaschke--Santal\\'o and Petty projection inequalities\, respe
ctively. In this work we confirm Lutwak's conjecture\, including character
ization of the equality cases\, for all values of $k=1\,\\ldots\,n-1$\, in
a single unified framework. In fact\, it turns out that ellipsoids are th
e only \\emph{local} minimizers with respect to the Hausdorff topology. In
addition\, we address a related conjecture of Lutwak on the validity of c
ertain Alexandrov--Fenchel-type inequalities for affine (and more generall
y $L^p$-moment) quermassintegrals. The case $p=0$ corresponds to a sharp a
veraged Loomis--Whitney isoperimetric inequality. Based on joint work with
Amir Yehudayoff.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shay Sadovsky (Tel Aviv University)
DTSTART:20201201T153000Z
DTEND:20201201T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/48
DESCRIPTION:Title: Existence of potentials for non-traditional cost functions\nby S
hay Sadovsky (Tel Aviv University) as part of Online asymptotic geometric
analysis seminar\n\n\nAbstract\nIn this talk\, we present a constructive m
ethod for finding solutions to Monge's problem of mass-transport between t
wo measures with respect to the polar cost. Our costruction\, generalizing
an idea of Keith Ball\, utilizes a new notion of 'Hall polytopes'\, which
we introduce. Our method applies to non-traditional transport problems\,
i.e. those with costs which can attain the value infinity\, as well as the
classical case. Based on joint work with Shiri Artstein-Avidan and Kasia
Wyczesany.\n\n\n* Part 1 was last week’s talk by Kasia Wyczesany. Like a
ll talks\, a recording is available on the seminar’s homepage at:\nhttp:
//people.math.gatech.edu/~glivshyts6/AGAonline.html\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/48/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuansi Chen (Duke University)
DTSTART:20210105T153000Z
DTEND:20210105T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/49
DESCRIPTION:Title: Recent progress on the KLS conjecture and Eldan’s stochastic local
ization scheme\nby Yuansi Chen (Duke University) as part of Online asy
mptotic geometric analysis seminar\n\n\nAbstract\nKannan\, Lovasz and Simo
novits (KLS) conjectured in 1993 that the Cheeger isoperimetric coefficien
t of any log-concave density is achieved by half-spaces up to a universal
constant 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 co
nsequences of these conjectures. Then we present the development and the r
efinement of the main proof technique\, namely Eldan's stochastic localiza
tion scheme\, which results in the current best bounds of the Cheeger isop
erimetric coefficient in the KLS conjecture.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/49/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Konstantin Drach (Aix-Marseille Universite)
DTSTART:20210126T153000Z
DTEND:20210126T163000Z
DTSTAMP:20260404T111110Z
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://stable.researchseminars.org/talk/OAGAS/51/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rachel Greenfeld (UCLA)
DTSTART:20210202T163000Z
DTEND:20210202T173000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/52
DESCRIPTION:Title: Translational tilings: structure and decidability\nby Rachel Gre
enfeld (UCLA) as part of Online asymptotic geometric analysis seminar\n\n\
nAbstract\nLet F be a finite subset of Z^d. We say that F is a translation
al tile of Z^d if it is possible to cover Z^d by translates of F with no o
verlaps. \nGiven a finite subset F of Z^d\, could we determine whether F i
s a translational tile in finite time? Suppose that F does tile\, does it
admit a periodic tiling? A well known argument of Wang shows that these t
wo questions are closely related. \nIn the talk\, we will discuss the rel
ation between periodicity and decidability\; and present some new results\
, joint with Terence Tao\, on the rigidity of tiling structures in Z^2\, a
nd their applications to decidability.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/52/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexey Garber (The University of Texas Rio Grande Valley)
DTSTART:20210209T153000Z
DTEND:20210209T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/53
DESCRIPTION:Title: Convex polytopes that tile space with translations: Voronoi domains
and spectral sets\nby Alexey Garber (The University of Texas Rio Grand
e Valley) as part of Online asymptotic geometric analysis seminar\n\n\nAbs
tract\nIn this talk I am going to discuss convex d-dimensional polytopes t
hat tile R^d with translations and their properties related to two conject
ures. The first conjecture\, the Fuglede conjecture\, claims that every sp
ectral set in R^d tiles the space with translations\; this conjecture was
recently settled for convex domains by Lev and Matolcsi. The second conjec
ture\, the Voronoi conjecture\, claims that every convex polytope that til
es R^d with translations is the Voronoi domain for some d-dimensional latt
ice. The conjecture originates from the Voronoi�s geometric theory of po
sitive definite quadratic forms and is related to many questions in mathem
atical crystallography including Hilbert�s 18th problem. I mostly plan t
o discuss recent progress in the Voronoi conjecture and the proof of the c
onjecture for five-dimensional parallelohedra\; in the general setting the
Voronoi conjecture is still open. The talk is based on a joint work with
Alexander Magazinov (Skoltech).\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/53/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Han Huang (Georgia Institute of Technology)
DTSTART:20210216T153000Z
DTEND:20210216T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/54
DESCRIPTION:Title: Rank of Sparse Bernoulli Matrices\nby Han Huang (Georgia Institu
te of Technology) as part of Online asymptotic geometric analysis seminar\
n\n\nAbstract\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 t
hat (n-k+1)-th singular value of A equals 0 is (1+o(1)) of the probabilit
y that A contains k zero columns or k zero rows.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/54/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Boaz Slomka (Open University at Raanana\, Israel)
DTSTART:20210608T143000Z
DTEND:20210608T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/55
DESCRIPTION:Title: Discrete variants of Brunn-Minkowski type inequalities\nby Boaz
Slomka (Open University at Raanana\, Israel) as part of Online asymptotic
geometric analysis seminar\n\n\nAbstract\nI will discuss a family of discr
ete Brunn-Minkowski type inequalities. As particular cases\, this family i
ncludes the four functions theorem of Ahlswede and Daykin\, a result due t
o Klartag and Lehec\, and other variants\, both known and new\,\n\nTwo pro
ofs will be outlined\, the first is an elementary short proof and the seco
nd is a transport proof which extends a result due to Gozlan\, Roberto\, S
amson and Tetali\, and which implies stronger entropic versions of our ine
qualities. \n\nPartly based on joint work with Diana Halikias and Bo’az
Klartag\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/55/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Litvak (University of Alberta)
DTSTART:20210525T153000Z
DTEND:20210525T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/56
DESCRIPTION:by Alexander Litvak (University of Alberta) as part of Online
asymptotic geometric analysis seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/56/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tselil Schramm (Stanford University)
DTSTART:20210309T153000Z
DTEND:20210309T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/57
DESCRIPTION:Title: Computational Barriers to Estimation from Low-Degree Polynomials
\nby Tselil Schramm (Stanford University) as part of Online asymptotic geo
metric analysis seminar\n\n\nAbstract\nOne fundamental goal of high-dimens
ional statistics is to detect and recover structure from noisy data. But e
ven for simple settings (e.g. a planted low-rank matrix perturbed by noise
)\, the computational complexity of estimation is sometimes poorly underst
ood. A growing body of work studies low-degree polynomials as a proxy for
computational complexity: it has been demonstrated in various settings tha
t low-degree polynomials of the data can match the statistical performance
of the best known polynomial-time algorithms for detection. But prior wor
k has failed to address settings in which there is a "detection-recovery g
ap" and detection is qualitatively easier than recovery.\n\nIn this talk\,
I'll describe a recent result in which we extend the method of low-degree
polynomials to address recovery problems. As applications\, we resolve (i
n the low-degree framework) open problems about the computational complexi
ty of recovery for the planted submatrix and planted dense subgraph proble
ms.\n\nBased on joint work with Alex Wein.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/57/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark Agranovsky (Bar Ilan University)
DTSTART:20210119T153000Z
DTEND:20210119T163000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/58
DESCRIPTION:Title: On integrable domains and surfaces\nby Mark Agranovsky (Bar Ilan
University) as part of Online asymptotic geometric analysis seminar\n\n\n
Abstract\nIntegrability of domains or surfaces in R^n is defined in terms
of sectional or solid volume functions\, evaluating the volumes of the int
ersections with affine planes or half-spaces. Study of relations between t
he geometry of domains and types of their volume functions is motivated by
a problem of V.I. Arnold about algebraically integrable bodies\, which in
turn goes back to celebrated Newton's Lemma about ovals. The talk will be
devoted to a survey of some recent works in this area.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/58/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Semyon Alesker (Tel Aviv University)
DTSTART:20210406T143000Z
DTEND:20210406T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/59
DESCRIPTION:Title: New inequalities for mixed volumes of convex bodies and valuations t
heory\nby Semyon Alesker (Tel Aviv University) as part of Online asymp
totic geometric analysis seminar\n\n\nAbstract\nI will present a few new i
nequalities for mixed volumes of general convex bodies. In a special case
they can be considered as a new isoperimetric property of Euclidean ball i
n R^n. The inequalities are consequences of a recent result of J. Kotrbaty
on Hodge-Riemann type inequalities on the space of translation invariant
valuations on convex sets.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/59/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vishesh Jain (Stanford University)
DTSTART:20210413T143000Z
DTEND:20210413T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/60
DESCRIPTION:Title: Singularity of discrete random matrices\nby Vishesh Jain (Stanfo
rd University) as part of Online asymptotic geometric analysis seminar\n\n
\nAbstract\nLet $M_n$ be an $n\\times n$ random matrix whose entries are i
.i.d copies of a discrete random variable $\\xi$. It has been conjectured
that the 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 $M_n$ coin
cide (up to a sign). I will discuss recent work\, joint with Ashwin Sah (M
IT) and Mehtaab Sawhney (MIT)\, towards the resolution of this conjecture.
\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/60/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anindya De (University of Pennsilvania)
DTSTART:20210420T143000Z
DTEND:20210420T153000Z
DTSTAMP:20260404T111110Z
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://stable.researchseminars.org/talk/OAGAS/61/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sudan Xing (University of Alberta)
DTSTART:20210504T150000Z
DTEND:20210504T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/62
DESCRIPTION:Title: The general dual-polar Orlicz-Minkowski problem\nby Sudan Xing (
University of Alberta) as part of Online asymptotic geometric analysis sem
inar\n\n\nAbstract\nIn this talk\, the general dual-polar Orlicz-Minkowski
problem will be presented\, which is “polar" to the recently initiated
general dual Orlicz-Minkowski problem and “dual" to the newly proposed p
olar Orlicz-Minkowski problem. In particular\, the existence\, continuity
and uniqueness of the solutions for the general dual-polar Orlicz-Minkowsk
i problem will be presented. This talk is based on a joint work with Profe
ssors Deping Ye and Baocheng Zhu.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/62/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sang Woo Ryoo (Princeton University)
DTSTART:20210511T143000Z
DTEND:20210511T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/63
DESCRIPTION:Title: A sharp form of Assouad's embedding theorem for Carnot groups\nb
y Sang Woo Ryoo (Princeton University) as part of Online asymptotic geomet
ric analysis seminar\n\n\nAbstract\nAssouad's embedding theorem\, which em
beds snowflakes of doubling metric spaces into Euclidean spaces\, has rece
ntly been 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 Nas
h--Moser type iteration scheme developed by Tao\, which we extend into the
setting of Carnot groups. The other tool\, which is the main novelty of t
his paper\, is a certain orthonormal basis extension theorem in the settin
g of general doubling metric spaces. We anticipate that this latter tool c
ould be used for other applications.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/63/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wyatt Gregory (University of Missouri\, Columbia)
DTSTART:20210504T143000Z
DTEND:20210504T150000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/64
DESCRIPTION:Title: Inequalities for the Derivatives of the Radon Transform on Convex Bo
dies\nby Wyatt Gregory (University of Missouri\, Columbia) as part of
Online asymptotic geometric analysis seminar\n\n\nAbstract\nIt has been sh
own that the sup-norm of the Radon transform of a probability density defi
ned on an origin-symmetric convex body of volume 1 is bounded from below b
y a positive constant that depends only on the dimension. Using Fourier an
alysis\, we extend this estimate to the derivatives of the Radon transform
. We also provide a comparison theorem for these derivatives.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/64/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maria Angeles Hernandez Cifre (Universidad de Murcia\, Spain)
DTSTART:20210518T143000Z
DTEND:20210518T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/65
DESCRIPTION:Title: On the roots of polynomials with log-convex coefficients\nby Mar
ia Angeles Hernandez Cifre (Universidad de Murcia\, Spain) as part of Onli
ne asymptotic geometric analysis seminar\n\n\nAbstract\nIn the spirit of t
he work developed for the Steiner polynomial of convex bodies\, we investi
gate geometric properties of the roots of a general family of n-th degree
polynomials closely related to that of dual Steiner polynomials of star bo
dies\, deriving\, as a consequence\, further properties for the roots of t
he latter. We study the structure of the set of roots of such polynomials\
, showing 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 desc
ription for every natural n\\geq 2. This is a joint work with J. Yepes-Nic
olas and M. Tarraga.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/65/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Almut Burchard (University of Toronto)
DTSTART:20210427T143000Z
DTEND:20210427T153000Z
DTSTAMP:20260404T111110Z
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://stable.researchseminars.org/talk/OAGAS/66/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ronen Eldan (Weizmann Institute of Science)
DTSTART:20210601T143000Z
DTEND:20210601T153000Z
DTSTAMP:20260404T111110Z
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://stable.researchseminars.org/talk/OAGAS/67/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Karoly Boroczky (University of Budapest)
DTSTART:20210330T143000Z
DTEND:20210330T153000Z
DTSTAMP:20260404T111110Z
UID:OAGAS/68
DESCRIPTION:Title: Stability of the Prekopa-Leindler inequality and the unconditional L
ogarithmic Brunn-Minkowski Inequality\nby Karoly Boroczky (University
of Budapest) as part of Online asymptotic geometric analysis seminar\n\n\n
Abstract\nRecent results about the stability of the Prekopa-Leinder inequa
lity (with Apratim De in the log-concave case\, and with Alessio Figalli a
nd Joao Goncalves in general) are discussed. As a consequence\, stability
of the Logarithmic Brunn-Minkowski Inequality under symmetries of a Coxete
r group is obtained.\n
LOCATION:https://stable.researchseminars.org/talk/OAGAS/68/
END:VEVENT
END:VCALENDAR