For suggestions, questions etc. please contact Dmitry Jakobson (jakobson@math.mcgill.ca), Alina Stancu (stancu@mathstat.concordia.ca), or Alexey Kokotov (alexey@mathstat.concordia.ca)

** Monday, January 9, 13:30-14:30, Burnside 920**

** Elliot Lieb** (Princeton)

Applications of Reflection Positivity: Graphene and Other Examples

**Abstract:**
Reflection positivity is a useful tool in statistical
mechanics and condensed matter physics. A recent application is to
the determination of the possible distortions of the hexagonal graphene
lattice. Other applications, such as to potential theory, the flux-phase
problem, Peierls instability and stripe formation, will also be given.

Spectral stability of the Dirichlet spectrum

THE TALK WAS CANCELLED

Sums of Lyapunov exponents of the Teichmueller geodesic flow, the determinant of the Laplacian and the Siegel-Veech constants

Tournament Matrices and the proof of the Brualdi-Li Conjecture

Boundary behavior of analytic functions on D.

Slides

Product vacua with boundary states and the classification of gapped phases

(Non)-convergent sequences of symmetrizations

Effective dynamics of Bose-Einstein condensates of fermion pairs

Using double poles to prove Slodkowski's extension theorem for holomorphic motions

Variational aspects of Laplace eigenvalues on Riemannian surfaces

On Blowup in Nonlinear Heat Equations

On surfaces in normed spaces

Expander Graphs, Thin Groups and Superstrong Approximation

The Chern-Simons line bundle on Teichmuller space.

Semiclassical limits of distorted plane waves

Polaron-phonon Scattering

High frequency resolvent estimates in spherically symmetric media.

Classification and Nondegeneracy of entire solutions to Toda system.

The Monge problem for convex costs

Introduction to cluster expansions: applications, combinatorics, tree estimates

A priori estimates of prescribing curvature measure problems in Riemann spaces

Composition Operators on Dirichlet series

Sign-changing blow-up for scalar curvature type equations

A Discrete Bernoulli Free Boundary Problem

The Korevaar method : metric measured spaces in spectral geometry

Equivalence relations, random graphs and stochastic homogenization

Announcement

Inequalities for Laplace eigenvalues and Topology 101

Boundary rigidity and minimal surfaces: a survey

Invitation to simple modeling of complex phenomena

Monday April 2: McGill 14:00-15:00, Burnside 708

Tuesday April 3: McGill 14:30-15:30, Burnside 920

Wednesday April 4: McGill 10:30-11:30, Burnside 1214

Analysis and geometry in regularity of optimal maps

** Spectral Theory Seminar**

**Thursday, August 25, 13:00-14:00**

**Room 4186, Pav. Andre-Aisenstadt, Universite
de Montreal**

**Leonid Parnovski** (University College, london)

Integrated density of states for periodic and almost-periodic
Schrodinger operators

Title to be announced

On a problem by Halmos on invariant subspaces

Resonance asymptotics for hyperbolic manifolds

Critical sets of random smooth functions on compact manifolds

Uniqueness and nondegeneracy of ground states for non-local equations in 1D

Generalization of a theorem by Clunie and Hayman

Kahler-Einstein metrics singular along a divisor

The Fundamental Solution to the Wright-Fisher Equation

Composition operators on model subspaces

Regular value theorem in the the fractal setting

On the number of ground states of the Edwards-Anderson spin glass model

Room 5183, Pav. Andre-Aisenstadt, Universite de Montreal

Commutator trave identities for operators and pencils

Some historical and general remarks about partial differential equations

Best constant in the Moser-Onofri-Aubin inequality on the 2-dimensional sphere and its ramifications

On the existence of stationary solutions for some non-Fredholm integro-differential equations

Spectral properties of the Laplacian on manifolds with axial analytic asymptotically cylindrical ends

Non-trivial convex bodies with maximal sections of constant volume

Teichmuller spaces of Riemann surfaces with holes and algebras of geodesic functions

Tricks in Spectral Theory

Polyakov-Alvarez formula and Weil reciprocity law for polyhedra

As a simple corollary of this new analog of comparison formula one gets a reciprocity law for conformally equivalent polyhedra, which could be alternatively derived from the Weil eciprocity law for harmonic functions with logarithmic singularities.

Groups with good pedigrees, or superrigidity revisited

Thursday, December 1, Burnside Hall 920, 16:30-17:30

On the structure of infinite dimensional Gaussian measures

2005/2006 Analysis Seminar

2004/2005 Seminar in Nonlinear Analysis and Dynamical Systems

2003/2004 Working Seminar in Mathematical Physics