2021-22 CRM/MONTREAL/QUEBEC ANALYSIS ZOOM SEMINARS
Seminars are usually held on Mondays or Fridays.
In person seminars in Montreal are held at Concordia,
McGill or Universite de Montreal; in person seminars in Quebec City
are held at Laval.
To attend a zoom session, and for suggestions, questions etc. please
contact Galia Dafni (firstname.lastname@example.org), Alexandre Girouard
(email@example.com), Dmitry Jakobson
(firstname.lastname@example.org), Damir Kinzebulatov
or Maxime Fortier (email@example.com)
Montreal Analysis seminar is currently held online on zoom,
organized jointly with Laval University in Quebec City.
Please, contact one of the organizers for the seminar zoom links.
The talks are recorded and posted on the
CRM Youtube channel, on
Mathematical Analysis Lab playlist
The talk schedule has moved. The new web page is
Friday, October 22, 14:30-15:30 Eastern time, zoom seminar
Yannick Sire (Johns Hopkins)
Some results on harmonic maps with free boundary and beyond
The theory of harmonic maps with free boundary is an old topic in
geometric analysis. I will report on recent results on their Ginzburg-Landau
approximation, regularity theory, and their heat flow. I will also describe
several models in the theory of liquid crystals where the heat flow of those
maps appears, emphasizing on some well-posedness issues and some hints
on the construction of blow-up solutions. Several important results in
geometric analysis such as extremal metrics for the Steklov eigenvalues
for instance make a crucial use of such maps. I’ll give some open problems
and will try to explain how to attack few open questions in the field
using tools recently developed.
Friday, October 29, 14:30-15:30 Eastern time, zoom seminar
Michael Roysdon (Tel Aviv)
On measure theoretic projection bodies
Friday, November 12, 14:30-15:30 Eastern time, zoom seminar
Maxime Fortier Bourque (Universite de Montreal)
The extremal length systole of the Bolza surface
The extremal length of a curve on a Riemann surface is a conformal
invariant that has a nice geometric description but is not so simple to
compute in practice. The extremal length systole is defined as the infimum
of the extremal lengths of all non-contractible closed curves. I will
discuss joint work with Didac Martinez-Granado and Franco Vargas Pallete
in which we compute the extremal length systole of the Bolza surface,
the most symmetric surface of genus two. The calculation involves certain
identities for elliptic integrals called the Landen transformations. We
also prove that the Bolza surface is a local maximizer for the extremal
length systole and conjecture that it is the unique global maximizer.
Friday, November 19, 14:30-15:30 Eastern time, zoom seminar
Dimitrios Ntalampekos (Stony Brook)
Rigidity theorems for circle domains
A circle domain $\Omega$ in the Riemann sphere is a domain each of whose
components is either a circle or a point. A circle domain
$\Omega$ is called conformally
rigid if every conformal map from $\Omega$
onto another circle domain is the restriction of a Mobius transformation.
In this talk I will present some new rigidity
theorems for circle domains satisfying a certain quasihyperbolic condition.
As a corollary, John and Holder circle domains are rigid.
This provides new evidence for a conjecture of He and Schramm, relating
rigidity and conformal
removability. This talk is based on joint work with Malik Younsi.
Friday, November 26, 14:30-15:30 Eastern time, zoom seminar
Suresh Eswarathasan (Dalhousie)
Fractal uncertainty principle for discrete Cantor sets for random alphabets.
The fractal uncertainty principle (FUP) introduced by Dyatlov-Zahl’16
has seen some powerful applications in the last few years and become a
hot topic in harmonic analysis. In this talk, we study the FUP for
discrete Cantor sets from a probabilistic perspective. We show that
randomizing our alphabets gives a quantifiable improvement over the
current “zero” and “pressure” bounds. In turn, this provides the best
possible exponent when the Cantor sets enjoy either the strongest Fourier
decay or additive energy assumptions. This is joint work with Xiaolong
Han (Cal. State Northridge)
2020 Zoom Seminars
Fall 2013 Seminars
Winter 2014 Seminars
2005/2006 Analysis Seminar
2004/2005 Seminar in Nonlinear Analysis and Dynamical Systems
2003/2004 Working Seminar in Mathematical Physics