For suggestions, questions etc. please contact Dmitry Jakobson (jakobson@math.mcgill.ca), Iosif Polterovich (iossif@dms.umontreal.ca) or Alina Stancu (alina.stancu@concordia.ca)

Fluid Dynamics, Isometric Embeddings, and the Theory of Compensated Compactness

Local inverse scattering at a fixed energy for radial Schrodinger operators and localization of the Regge poles.

Eigenvalues of the sloshing problem

Eigenvalues of Robin Laplacians in infinite sectors and application to polygons

An isoperimetric inequality for Laplace eigenvalues on the sphere and the projective plane

Asymptotic relations for the Fourier transform of a function of bounded variation

Title TBA

Title TBA

On the classification of ancient solutions to curvature flows on the sphere

L^p estimates for eigenfunctions on manifolds with boundary

Spectral asymptotics for fractional Laplacian

Spectral geometry of manifolds with conic singularities

We begin the talk with an overview of the heat kernel of Laplace operator on a manifold. In case of a compact smooth manifold the heat trace expansion gives some geometrical information such as dimension, volume and total scalar curvature of the manifold. In case of a manifold with conic singularities the heat trace expansion is more difficult than in the smooth case. Using Singular Asymptotics Lemma of Bruening and Seeley we obtain information about a singularity from the heat trace expansion.

Announcement

The intrinsic volumes of indefinite quadratic forms

On Gravitational Collapse in General Relativity

Spectral methods in ergodic theory: obtaining uniform ergodic theorems

A flexibility program in dynamical systems and first results.

A Quantitative Vainberg Method for Black Box Scattering

Discretization and Steklov eigenvalues of compact manifold with boundary

The Poincare Inequality and the $p$-Laplacian

The quasineutral limit of the Vlasov-Poisson system

Rough Singular Integrals: A1 theory

This is a joint work with I. Rivera-Rios and L. Roncal.

Quantum unique ergodicity for half-integral weight automorphic forms

Spectra for non-selfadjoint operators and integrable dynamics

$L^p$ bounds on eigenfunctions for operators with double characteristics

Quantitative unique continuation and intensity of waves in the shadow of an obstacle

Non-uniqueness results for the anisotropic Calderon problem with data measured on disjoint sets.

Stability results for sections of convex bodies

On semiconjugate Rational Functions

2005/2006 Analysis Seminar

2004/2005 Seminar in Nonlinear Analysis and Dynamical Systems

2003/2004 Working Seminar in Mathematical Physics