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 (galia.dafni@concordia.ca), Alexandre Girouard (alexandre.girouard@mat.ulaval.ca), Dmitry Jakobson (dmitry.jakobson@mcgill.ca), Damir Kinzebulatov (damir.kinzebulatov@mat.ulaval.ca) or Maxime Fortier (maxime.fortier.bourque@umontreal.ca)


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

WINTER 2022

The talk schedule has moved. The new web page is here

FALL 2021

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
Abstract: 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
Abstract: pdf
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
Abstract: 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
Abstract: A circle domain $\Omega$ in the Riemann sphere is a domain each of whose boundary 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.
Abstract: 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)

2020/2021 Seminars

2020 Zoom Seminars

2019/2020 Seminars

2018/2019 Seminars

2017/2018 Seminars

2016/2017 Seminars

2015/2016 Seminars

2014/2015 Seminars

Fall 2013 Seminars

Winter 2014 Seminars

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2011/2012 Seminars

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2009/2010 Seminars

2008/2009 Seminars

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2006/2007 Seminars

2005/2006 Analysis Seminar

2004/2005 Seminars

2004/2005 Seminar in Nonlinear Analysis and Dynamical Systems

2003/2004 Working Seminar in Mathematical Physics

2002/2003 Seminars

2001/2002 Seminars

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1999/2000 Seminars