To attend a zoom session, and for suggestions, questions etc. please contact Galia Dafni (galia.dafni@concordia.ca), Dmitry Jakobson (dmitry.jakobson@mcgill.ca), Damir Kinzebulatov (damir.kinzebulatov@mat.ulaval.ca) or Iosif Polterovich (iossif@dms.umontreal.ca)

Handle attachment and the normalised first eigenvalue

Flat conical Laplacian in the square of the canonical bundle and its regularized determinants

STRUCTURE AND DYNAMICS WITH ULTRAFAST ELECTRON MICROSCOPES … or how to make atomic-level movies of fundamental processes in molecules and materials

[1] Morrison et al Science 346 (2014) 445

[2] Otto et al, PNAS, 116 (2019) 450

[3] Stern et al, Phys. Rev. B 97 (2018) 165416

[4] Rene de Cotret et al, Phys. Rev. B 100 (2019) 214115

Smith theory in Floer homology, persistence, and dynamics

Concavity of solutions to elliptic equations on the sphere

To our knowledge, so far this technique has never been transferred to other ambient spaces, as the nonlinearity of a general ambient space introduces geometric terms into the classical calculation, which in general do not carry a sign.

In this talk we have a look at this situation on the unit sphere. We prove a concavity maximum principle for a broad class of degenerate elliptic equations via a careful analysis of the spherical Jacobi fields and their derivatives. In turn we obtain concavity of solutions to this class of equations. This is joint work with Mat Langford, University of Tennessee Knoxville.

Homogenization of Steklov problems with applications to sharp isoperimetric bounds, part I

Homogenization of Steklov problems with applications to sharp isoperimetric bounds, part II.

Spectral asymptotics for stationary spacetimes

Holomorphic motions, conformal welding and capacity

Viscosity limits for 0th order operators

A quantification of the Besicovitch projection theorem and its generalizations

Bourgain-Brezis inequalities, applications and Borderline Sobolev inequalities on Riemannian Symmetric spaces of non-compact type.

Title TBA

Measure non-rigidity for linear cellular automata

Heat kernel bounds and desingularizing weights for non-local operators

Systolically extremal metrics on nonpositively curved surfaces

Extension problem on subspaces of BMO on domains

Precise descriptions of bands of the Airy-Schrodinger operator on the real line

On the John-Nirenberg inequalities

Higher Teichmuller and higher rank Schottky groups

2005/2006 Analysis Seminar

2004/2005 Seminar in Nonlinear Analysis and Dynamical Systems

2003/2004 Working Seminar in Mathematical Physics