For suggestions, questions etc. please contact Galia Dafni (gdafni@mathstat.concordia.ca), Dmitry Jakobson (jakobson@math.mcgill.ca), or Alexander Shnirelman (shnirel@mathstat.concordia.ca)

**Monday, January 17, 14:30-15:30, Burnside 920**

**Michael Monastyrsky** (Moscow)

Duality transformations for spin lattice systems and Hecke surfaces

** Abstract:** I discuss a generalization of famous
Kramiers-Wannier duality for Ising
Model in the theory of phase transitions and some applications to different
problems in mathematics, mainly a construction of special class of Riemann
surfaces - Hecke surfaces with Regular graphs, surfaces with Large cusps
and so on. All of these problems have some physical origin and show deep
interplay between modern mathematics and physics.

Semiclassical measures and dispersion for the Schrodinger equation on the torus.

Geodesics at singular points of singular subspaces: a few striking examples

A Spatially Homogeneous and Isotropic Einstein-Dirac Cosmology

Thursday, March 10, 13:30-14:30

Universite de Montreal: Pav. Andre Aisenstadt, 5448

Extremal spectral properties of Lawson tau-surfaces and the Lame equation

In this talk we shall describe significant advances is this domain happened during last ten years and last results about extremal metrics on Lawson tori and Klein bottles representing an interesting interplay between extremal metrics, minimal surfaces and the classical Lame equation.

Semiclassical concentration and eigenvalue branches

Dissipative perturbations of area preserving flows on surfaces.

Analysis on non-smooth domains

Thursday, March 24, 13:30-14:30

Universite de Montreal: Pav. Andre Aisenstadt, 5448

Nodal inequalities on surfaces

Solution to some Rudin's Problem

Universality of KPZ equation

Global attractor for Klein-Gordon equation in discrete space-time

Determinants of elliptic operators

Absolutely continuous spectrum for the Anderson model on a product of a tree with a finite graph

Vortices in Ginzburg-Landau systems

Modulus and Poincare inequalities on Sierpinski carpets

THE TALK IS CANCELLED

Morse landscapes of Riemannian functionals and related problems

Short geodesics between a pair of points on a closed Riemannian manifold

Knots and links in steady solutions of the Euler equation

Nondegeneracy of the eigenvalues of the Hodge Laplacian for generic metrics on 3-manifolds

Daniel Peralta Salas (Madrid)

Topological monsters in PDE

On average shadowing properties

Aharonov-Bohm Effect in Resonances of Magnetic Schrodinger Operators with Potentials with Supports at Large Separation

Some random thoughts about Cauchy's functional equation

** Monday, August 2, 11:00, Room 920**

** Wednesday, August 4, 11:00, Room 920**

** Friday, August 6, 11:00, Room 920**

** Monday, August 9, 11:00, Room 920**

**Raphael Ponge** (Tokyo)

Fefferman's program and Green functions of conformally invariant
differential operators

**Abstract:** The following topics will be covered:

Fefferman's program in conformal geometry. Conformal invariants.
Conformally invariant operators.

Construction of the conformal powers of the Laplacian (aka GJMS operators)
via the ambient metric of Fefferman-Graham.

Singularities of Green functions and zeta functions.

Explicit computation of the logarithmic singularities of the Green
functions of the conformal powers of the Laplacian.

The lectures are aimed at and should be accessible to graduate students.

An application of boundary control method to an inverse problem

Two-sided weighted Fourier inequalities

Affine Sobolev inequalities

Abstract

Local smoothing with a prescribed loss for the Schrodinger equation

N-body systems, quantum fields, many-body systems: a proof of the Mourre estimate

Problemes extremaux de potentiel et approximation rationelle.

Discriminant separability, pencils of conics and Kowalevski integrability

Abstract: A new view on the Kowalevski top and Kowalevski integration procedure is presented. It is based on geometry of pencils of conics, a classical notion of Darboux coordinates, a modern concept of n-valued Buchstaber-Novikov groups and a new notion of discriminant separability. Unexpected relationship with the Great Poncelet Theorem for a triangle is established. Classification of strongly disriminatly separable polynomials of degree two in each of three variables is performed. Further connections between discriminant separability, geometry of pencils of quadrics and integrability are discussed.

Concordia univ, Library building, 1400 De Maisonneuve West, LB 921-4

Concordia univ, Library building, 1400 De Maisonneuve West, LB 921-4

A painless introduction to nonsmooth analysis and its applications

Geometric analysis on the 3-D sphere

Homeomorphic measures on a Cantor set

Geodesic distance on the manifold of Riemannian metrics

The spectral gap of convex co-compact subgroups of arithmetic groups

On the near periodicity of eigenvalues of Toeplitz matrices

A modified mean curvature type of flow and isoperimetric inequality

UdeM, Pav. A. Aisenstadt, 2920, ch. de la Tour, salle 6214.

Stochastic homogenization and related problems

UdeM, Pav. A. Aisenstadt, 2920, ch. de la Tour, salle 6214.

The Thermodynamic Limit of Coulomb Quantum Systems

Lie algebras and invariant integrals for multi-dimensional polynomial differential systems

2005/2006 Analysis Seminar

2004/2005 Seminar in Nonlinear Analysis and Dynamical Systems

2003/2004 Working Seminar in Mathematical Physics