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SUMMARY:Sylvia Serfaty (NYU)
DTSTART;VALUE=DATE-TIME:20210506T125000Z
DTEND;VALUE=DATE-TIME:20210506T135000Z
DTSTAMP;VALUE=DATE-TIME:20240329T054709Z
UID:ATHABrazil/1
DESCRIPTION:Title: Systems of points with Coulomb interactions\nby Sylvia Serfaty (NYU
) as part of Harmonic Analysis\, Approximation Theory and related topics\n
\n\nAbstract\nLarge ensembles of points with Coulomb interactions arise in
various settings of condensed matter physics\, classical and quantum mech
anics\, statistical mechanics\, random matrices and even approximation the
ory\, and they give rise to a variety of questions pertaining to analysis\
, Partial Differential Equations and probability.\n\nWe will first review
these motivations\, then present the ”mean-field” derivation of effect
ive models and equations describing the system at the macroscopic scale. W
e then explain how to analyze the next order behavior\, giving information
on the configurations at the microscopic level and connecting with crysta
llization questions\, and finish with the description of the effect of tem
perature.\n
LOCATION:https://researchseminars.org/talk/ATHABrazil/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carlos Beltran (Universidad de Cantabria)
DTSTART;VALUE=DATE-TIME:20210520T140000Z
DTEND;VALUE=DATE-TIME:20210520T150000Z
DTSTAMP;VALUE=DATE-TIME:20240329T054709Z
UID:ATHABrazil/2
DESCRIPTION:Title: The origin and the destiny of Smale’s 7th problem\nby Carlos Belt
ran (Universidad de Cantabria) as part of Harmonic Analysis\, Approximatio
n Theory and related topics\n\n\nAbstract\nSmale’s 7th problem asks for
an efficient description of N points in the unit sphere with quasioptimal
logarithmic energy (to be though of as the repulsion energy one would expe
ct if the points were equal-charged particles). In this talk I will explai
n the origins of this problem\, the reason why it was included in Smale’
s list\, the state of the art in the research and my personal viewpoint on
its destiny.\n
LOCATION:https://researchseminars.org/talk/ATHABrazil/2/
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BEGIN:VEVENT
SUMMARY:Loredana Lanzani (Syracuse University)
DTSTART;VALUE=DATE-TIME:20210603T130000Z
DTEND;VALUE=DATE-TIME:20210603T140000Z
DTSTAMP;VALUE=DATE-TIME:20240329T054709Z
UID:ATHABrazil/3
DESCRIPTION:Title: The commutator of the Cauchy-Szegő projection for domains in Cˆn with
minimal smoothness\nby Loredana Lanzani (Syracuse University) as part
of Harmonic Analysis\, Approximation Theory and related topics\n\nAbstrac
t: TBA\n
LOCATION:https://researchseminars.org/talk/ATHABrazil/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Virginia Naibo (Kansas State University)
DTSTART;VALUE=DATE-TIME:20210617T140000Z
DTEND;VALUE=DATE-TIME:20210617T150000Z
DTSTAMP;VALUE=DATE-TIME:20240329T054709Z
UID:ATHABrazil/4
DESCRIPTION:Title: Boundedness properties of Hermite pseudo-multipliers\nby Virginia N
aibo (Kansas State University) as part of Harmonic Analysis\, Approximatio
n Theory and related topics\n\n\nAbstract\nFourier multipliers and pseudo-
differential operators are defined by means of the Fourier transform and p
lay an important role in the study of partial differential equations. In t
he same spirit\, Hermite pseudo-multipliers are associated to Hermite exp
ansions and they represent the counterparts to pseudo-differential operato
rs in the Hermite setting. \nAfter some preliminaries\, we will present re
sults on boundedness properties of pseudo-multipliers in function spaces a
ssociated to the Hermite operator. The main tools in the proofs involve ne
w molecular decompositions and molecular synthesis estimates for Hermite B
esov and Hermite Triebel-Lizorkin spaces\, which allow to obtain boundedne
ss results on spaces for which the smoothness allowed includes non-positiv
e values. In particular\, we obtain boundedness results for pseudo-multipl
iers on Lebesgue and Hermite local Hardy spaces.\nThe talk is based on joi
nt work with Fu Ken Ly (The University of Sydney).\n
LOCATION:https://researchseminars.org/talk/ATHABrazil/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maria Cristina Pereyra (University of New Mexico)
DTSTART;VALUE=DATE-TIME:20210701T140000Z
DTEND;VALUE=DATE-TIME:20210701T150000Z
DTSTAMP;VALUE=DATE-TIME:20240329T054709Z
UID:ATHABrazil/5
DESCRIPTION:Title: A tour of Dyadic Harmonic Analysis\nby Maria Cristina Pereyra (Univ
ersity of New Mexico) as part of Harmonic Analysis\, Approximation Theory
and related topics\n\n\nAbstract\nIn harmonic analysis we study boundednes
s properties on various function spaces of for example maximal operators a
nd singular integrals among many other operators. There is a parallel dyad
ic setting where often proofs are simpler. I would like to give you a pano
rama of this dyadic world and how it connects heuristically and nowadays v
ery precisely to the non-dyadic world.\n
LOCATION:https://researchseminars.org/talk/ATHABrazil/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Loukas Grafakos (University of Missouri)
DTSTART;VALUE=DATE-TIME:20210916T140000Z
DTEND;VALUE=DATE-TIME:20210916T150000Z
DTSTAMP;VALUE=DATE-TIME:20240329T054709Z
UID:ATHABrazil/6
DESCRIPTION:Title: Classical Multiplier Theorems and Recent Improvements\nby Loukas Gr
afakos (University of Missouri) as part of Harmonic Analysis\, Approximati
on Theory and related topics\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ATHABrazil/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tamara Grava (SISSA & Bristol)
DTSTART;VALUE=DATE-TIME:20211007T140000Z
DTEND;VALUE=DATE-TIME:20211007T150000Z
DTSTAMP;VALUE=DATE-TIME:20240329T054709Z
UID:ATHABrazil/7
DESCRIPTION:Title: Gibbs ensemble for the discrete nonlinear Schrodinger equation\, circul
ar beta-ensemble and double confluent Heun equation\nby Tamara Grava (
SISSA & Bristol) as part of Harmonic Analysis\, Approximation Theory and r
elated topics\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ATHABrazil/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ming Xiao (UCSD)
DTSTART;VALUE=DATE-TIME:20211028T140000Z
DTEND;VALUE=DATE-TIME:20211028T150000Z
DTSTAMP;VALUE=DATE-TIME:20240329T054709Z
UID:ATHABrazil/8
DESCRIPTION:Title: Normal Stein spaces with Bergman-Einstein metric and finite ball quotie
nts\nby Ming Xiao (UCSD) as part of Harmonic Analysis\, Approximation
Theory and related topics\n\n\nAbstract\nIn this talk\, we will start with
a conjecture posed by Cheng\, which states that the Bergman metric of a b
ounded\, strongly pseudoconvex domain in Cn with smooth boundary is Khaler
-Einstein if and only if the domain is biholomorphic to the unit ball Bn.
Then we will discuss the recent developments on solving and generalizing C
heng’s conjecture. \n\nThe talk is based on a joint paper with Huang\, a
nd a recent preprint with Ebenfelt and Xu.\n
LOCATION:https://researchseminars.org/talk/ATHABrazil/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christopher Bishop (Stony Brook)
DTSTART;VALUE=DATE-TIME:20211111T190000Z
DTEND;VALUE=DATE-TIME:20211111T200000Z
DTSTAMP;VALUE=DATE-TIME:20240329T054709Z
UID:ATHABrazil/9
DESCRIPTION:Title: Weil-Peterson curves\, traveling salesman theorems and minimal surfaces
\nby Christopher Bishop (Stony Brook) as part of Harmonic Analysis\, A
pproximation Theory and related topics\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ATHABrazil/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dmitry Gorbachev (Tula State University)
DTSTART;VALUE=DATE-TIME:20211109T140000Z
DTEND;VALUE=DATE-TIME:20211109T150000Z
DTSTAMP;VALUE=DATE-TIME:20240329T054709Z
UID:ATHABrazil/10
DESCRIPTION:Title: One Fourier optimization problem for bandlimited functions in $L^1(\\m
athbb R^d)$\nby Dmitry Gorbachev (Tula State University) as part of Ha
rmonic Analysis\, Approximation Theory and related topics\n\nAbstract: TBA
\n
LOCATION:https://researchseminars.org/talk/ATHABrazil/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Irina Mitrea (Temple University)
DTSTART;VALUE=DATE-TIME:20211202T140000Z
DTEND;VALUE=DATE-TIME:20211202T150000Z
DTSTAMP;VALUE=DATE-TIME:20240329T054709Z
UID:ATHABrazil/11
DESCRIPTION:Title: On the Lack of Fredholm Solvability for the $L^p$ Dirichlet Problem fo
r Weakly Elliptic Systems in the Upper Half-Space\nby Irina Mitrea (Te
mple University) as part of Harmonic Analysis\, Approximation Theory and r
elated topics\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ATHABrazil/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrei Martinez-Finkelshtein (Baylor University)
DTSTART;VALUE=DATE-TIME:20211209T140000Z
DTEND;VALUE=DATE-TIME:20211209T150000Z
DTSTAMP;VALUE=DATE-TIME:20240329T054709Z
UID:ATHABrazil/12
DESCRIPTION:Title: Electrostatic partners and zeros of orthogonal and multi-orthogonal po
lynomials\nby Andrei Martinez-Finkelshtein (Baylor University) as part
of Harmonic Analysis\, Approximation Theory and related topics\n\n\nAbstr
act\nThe well-known electrostatic interpretation of the zeros of Hermite\,
Laguerre or Jacobi polynomials that goes back to the 1885 work of Stieltj
es is one of the most popular models in the theory of orthogonal polynomia
ls. Besides its elegance\, it has a clear pedagogic value\, allowing to pr
edict monotonicity properties of zeros in terms of parameters or their asy
mptotic distribution. It was picked up and extended to several contexts\,
such as orthogonal and quasi-orthogonal polynomials on the real line and t
he unit circle\, for classical and semiclassical weights. \n\nMultiple ort
hogonal (or Hermite-Pade) polynomials satisfy a system of orthogonality co
nditions with respect to a set of measures. They find applications in numb
er theory\, approximation theory\, and stochastic processes\, and their an
alytic theory\, extremely rich\, has been developing since the 1980s. Howe
ver\, no electrostatic interpretation of the zeros of such polynomials has
been described in the literature. In this talk\, I will describe such a m
odel for the case of type II Hermite-Pade polynomials\, will discuss its l
ink with the asymptotic behavior of such zeros\, and will illustrate it wi
th some simple cases. \n\nThis is joint work with R. Orive (Universidad de
La Laguna\, Canary Islands\, Spain) and J. Sanchez-Lara (Granada Universi
ty\, Spain).\n
LOCATION:https://researchseminars.org/talk/ATHABrazil/12/
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