Montreal Analysis Seminar

Seminars are usually held on Mondays or Fridays at Concordia, McGill or Universite de Montreal
For suggestions, questions etc. please contact Dmitry Jakobson (, Iosif Polterovich ( or Alina Stancu (


Joint Analysis and Geometric Analysis seminar
Friday, February 16, 13:30-14:30, McGill, Room 920 (to be confirmed)
Loredana Lanzani (Syracuse)
Title TBA

FALL 2017

Friday, November 24, 13:30-14:30, McGill, Room 920
Damir Kinzebulatov (Laval)
Title TBA
Joint Analysis + Geometric Analysis seminar
Friday, November 10, 13:30-14:30, McGill, Room 920
Dan Pollack (U. Washington)
Title TBA

Friday, November 3, 13:30-14:30, McGill, Room 920
Niko Laaksonen (McGill)
Prime Geodesic Theorem in the 3-dimensional Hyperbolic Space
Abstract: On hyperbolic manifolds the lengths of primitive closed geodesics (prime geodesics) have many similarities with the usual prime numbers. In particular, they obey an asymptotic distribution analogous to the Prime Number Theorem. The error in this estimation is well-studied in two dimensions. In three dimensions the only unconditional non-trivial estimate is by Sarnak. In this talk we show how to improve on Sarnak's pointwise bound for the error term. We also investigate the second moment of the error term and highlight some of the difficulties compared to the two dimensional case.
Monday, October 16, 13:30-14:30, McGill, Room 920
Frederic Naud (Avignon)
Sharp resonances and large covers of hyperbolic surfaces
Abstract: (joint With D. Jakobson and L. Suares) In this talk we will look at the spectral properties of infinite area hyperbolic surfaces in families of covers. Depending on the structure of the covering groups we establish several asymptotic results on the distribution of resonances in the large degree limit.
Friday, October 6, 13:30-14:30, McGill, Room 920
Kay Kirkpatrick (University of Illinois at Urbana-Champaign)
Free Araki-Woods Factors and a Calculus for Moments in Quantum Groups.
Abstract: We will discuss a central limit theorem for quantum groups: that the joint distributions with respect to the Haar state of the generators of free orthogonal quantum groups converge to free families of generalized circular elements in the large (quantum) dimension limit. We also discuss a connection to almost-periodic free Araki-Woods factors. This is joint work with Michael Brannan.
Spectral Theory seminar
Monday, September 25, 14:00-15:00, UdeM, Room 5340/5380
Lise Turner (McGill)
Distribution of coefficients of rank polynomials for random sparse graphs
Abstract: We study the distribution of coefficients of rank polynomials of random sparse graphs. We first discuss the limiting distribution for general graph sequences that converge in the sense of Benjamini-Schramm. Then we compute the limiting distribution and Newton polygons of the coefficients of the rank polynomial of random d-regular graphs. This is joint work with S. Norin and D. Jakobson
Monday, September 18, 13:00-14:00, McGill, Burnside 920
Alexander Olevskii (Tel Aviv University)
Around uncertainty principle
Abstract: How "small" the support and the spectrum of a function in R^d can be? I'll present an introduction to the subject and discuss new results joint with Fedor Nazarov and with my student T.Amit.
Monday, September 18, 14:00-15:00, Burnside 920
Alex Iosevich (Rochester University)
Finite point configuration in continuous, discrete and arithmetic settings
Abstract: The basic question we ask is, how "large" does a subset of a vector space need to be to ensure that it contains a given geometric configurations, or a positive proportion of congruence classes of a given geometric configuration? This problem is connected with many interesting questions in analysis, number theory and combinatorics, including the sum-product phenomenon, the local smoothing conjecture for the wave equation and various notions of rigidity in classical geometry. We will survey some recent results in a variety of settings and describe the ideas behind them.
Friday, September 15, 13:30-14:30, McGill, Burnside 920
Eli Liflyand (Bar Ilan University)
Asymptotic relations for the Fourier transform of a function of bounded variation
Abstract: Earlier and recent one-dimensional estimates and asymptotic relations for the cosine and sine Fourier transform of a function of bounded variation are refined in such a way that become applicable for obtaining multidimensional asymptotic relations for the Fourier transform of a function with bounded Hardy variation.
Monday, August 28, Univ. de Montreal, 13:30-14:30, Room 5183
Alexei Penskoi (Moscow State University and Higher School of Economics)
An isoperimetric inequality for Laplace eigenvalues on the sphere and the projective plane
Abstract: The first subject of this talk is an isoperimetric inequality for the second non-zero eigenvalue of the Laplace-Beltrami operator on the real projective plane (based on a joint paper with N. Nadirashvili). For a metric of area 1 this eigenvalue is not greater than 20\pi. This value could be attained as a limit on a sequence of metrics of area 1 on the projective plane converging to a singular metric on the projective plane and the sphere with standard metrics touching in a point such that the ratio of the areas of the projective plane and the sphere is 3:2. The second subject of this talk is a very recent result (joint paper with M. Karpukhin, N. Nadirashvili and I. Polterovich) about an isoperimetric inequality for Laplace eigenvalues on the sphere. For a metric of area 1 the k-th eigenvalue is not greater than 8\pi k. This value could be attained as a limit on a sequence of metrics of area 1 on the sphere converging to a singular metric on k spheres with standard metrics of equal radius touching in a point.

2016/2017 Seminars

2015/2016 Seminars

2014/2015 Seminars

Fall 2013 Seminars

Winter 2014 Seminars

2012/2013 Seminars

2011/2012 Seminars

2010/2011 Seminars

2009/2010 Seminars

2008/2009 Seminars

2007/2008 Seminars

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

2000/2001 Seminars

1999/2000 Seminars