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

Burnside 1234

How to choose a Lagrangian

Burnside 920

From BS to KS and beyond: Dissipativity and pattern formation

Burnside 920

New constructions of submanifolds of the sphere which are critical points of the volume functional

Burnside 920

A generalization of Brascamp-Lieb Theorem on log concavity to $\Sigma_{2}$ operator

Preparatory lectures for F. Germinet's course on July 18-23.

Monday July 16, 14:00-16:00 Jaksic: The spectral theorem

Tuesday July 17, 14:00-16:00 Jaksic: The ergodic theorem

Wednesday July 18, 14:00-16:00 Kritchevski: Weyl sequences and Borel-Cantelli lemmas

Mini-course: A basic introduction to Random Schroedinger operators

Wendesday July 18, 10:00-12:30. Lecture 1

Thursday July 19, 10:00-12:30. Lecture 2

Friday July 20, 10:00-12:30. Lecture 3

Saturday July 21, 10:00-12:30. Lecture 4

Monday July 23, 10:00-12:30. Lecture 5

Concordia, LB 921-4

Tangential Cauchy-Riemann operator on quaternionic Sigel upper half space

Abstract

Concordia, LB 921-4

Tangential slit solutions to the Loewner equation

Burnside 920

Calculating eigenvalues and resonances in domains with regular ends

Burnside 920

Global Strichartz and smoothing estimates for rough Schrodinger equations

Burnside 920

Conformal geometry and function theory on quaternionic contact manifolds

Room TBA

Boundary Integral Equations: Analysis and Applications

Burnside 920

Majorization, Matrices and the Geometry of Polynomials

Burnside 920

Ingham-type inequalities for complex frequencies and applications to control theory

Burnside 920

$L^2$ decay estimates for oscillatory integral operators in several variables with homogeneous polynomial phases

Burnside 920

Intersection bodies and L_p-spaces

Concordia, LB 921-4 (Library building)

Kolmogorov Entropy for Classes of Convex Functions

Burnside 920

Asymptotic formulae for the spectral function

Burnside 920

Hypoellipticity of Boltzmann equation

Burnside 920

Nonlinear Schrodinger equation in Hyperbolic spaces

Burnside 920

1. Random Schrodinger operators and Anderson localization

2. A concentration inequality and applications

The third lecture

3. Single energy multiscale analysis and Anderson localization

will be given from 14:40-15:40 on May 2, during the Analysis Day at CRM (see below)

CRM, Room 5340

Single energy multiscale analysis and Anderson localization

Regularity of solutions in the calculus of variations

Nodal lines for random eigenfunctions of the Laplacian on the torus

Burnside 920

Estimating the real part of complex eigenvalues of non-self adjoint Schroedinger operators via complex dilations

Burnside 920

Extreme Jensen measures. Abstract.

Burnside 920

On inner radius of nodal domains

Burnside 920

The Canopy Graph and Level Statistics for Random Operators on Trees

Burnside 920

Inverse spectral problem for analytic plane domains with one symmetry

Burnside 920

High Energy Limits of Laplace-type and Dirac-type Eigenfunctions and Frame Flows

Burnside 920

Quantum Central Limit Theorem

Burnside 920

Fundamental Solutions for Hermite and Subelliptic Operators

Burnside 920

Ergodicity and the size of a neighbourhood of singularity manifolds of dispersing billiards.

McGill, Burnside 920

Bacterial cell from physical point of view

McGill, Burnside 920

**Eric Sawyer** (McMaster)

Regularity of certain subelliptic Monge-Ampere equations

**Abstract:**
Assuming that k is smooth and vanishes only at nondegenerate critical
points, we prove that C^2 solutions u to the Monge-Ampere equation
detD^2u=k are smooth if and only if the subGaussian principal curvature
of u is positive. More general k are treated as well, and the proofs
involve an n-dimensional partial Legendre transform, Calabi's identity
for the square of third order derivatives of solutions, the Campanato
method of Xu and Zuily, the Stein-Rothschild lifting and approximation of
vector fields, Jerison's Poincare inequality, subelliptic DeGeorgi Nash
Moser theory, Guan's commutator lemma and other subelliptic techniques.
Hilbert's 17th problem also plays a role, and we discuss the ways in
which these varied topics enter into the problem of detecting smoothness
in subelliptic Monge-Ampere equations. In two dimensions, Guan had
earlier obtained such results for C^1,1 solutions, but the extension to
C^1,1 solutions in higher dimensions remains a challenging open problem.

2005/2006 Analysis Seminar

2004/2005 Seminar in Nonlinear Analysis and Dynamical Systems

2003/2004 Seminar in Nonlinear Analysis and Dynamical Systems

2003/2004 Working Seminar in Mathematical Physics