The Dalhousie-AARMS Analysis-Applied Math-Physics Seminar takes place on Fridays from 4 - 5 pm Atlantic Time over Zoom.  If you would like to attend, please email the organizers for connection details.

The Dalhousie-AARMS Analysis-Applied Math-Physics Seminar takes place on Fridays from 4 - 5 pm Atlantic Time over Zoom.  If you would like to attend, please email the organizers for connection details.

The Dalhousie-AARMS Analysis-Applied Math-Physics Seminar takes place on Fridays from 4 - 5 pm Atlantic Time over Zoom.  If you would like to attend, please email the organizers for connection details.

Title: Local eigenvalue statistics of random matrices and Dyson Brownian motion Abstract:  Dyson Brownian motion is a stochastic process describing eigenvalue dynamics under a matrix-valued Brownian motion.  We will review this process and its role in the study of universality of the local spectral statistics of random matrices.  We discuss results on the local ergodicity of Dyson Brownian motion and applications, including local eigenvalue universality of the adjacency matrices of sparse random graphs and an additive model related to free…

Title: Stabilization rates for the damped wave equation with polynomial and oscillatory damping Abstract: In this talk I will discuss energy decay of solutions of the Damped wave equation. After giving an overview of classical results I'll focus on the torus with damping that does not satisfy the geometric control condition. In this setup properties of the damping at the boundary of its support determine the decay rate, however a general sharp rate is not known. I will discuss damping…

Conformal invariance of percolation on random planar maps Conformal invariance of critical percolation on the triangular lattice was proved by Smirnov. His proof is hard to extend to critical percolation on other lattices since his proof relies on a combinatorial identity which is only true on the triangular lattice. On random lattices known as random planar maps, however, it turns out that conformal invariance can be established. This was done in joint work with Sun, building on our earlier works…

Title: A bulk gap in the presence of edge states for a HaldanepseudopotentialAbstract: In this talk, we discuss a recent result on a bulk gap for atruncated Haldane pseudopotential with maximal half filling, whichdescribes a strongly correlated system of spinless bosons in a cylindergeometry. For this Hamiltonian with either open or periodic boundaryconditions, we prove a spectral gap above the highly degenerateground-state space which is uniform in the volume and particle number.Our proofs rely on identifying invariant subspaces to which…

Title: A Fredholm approach to scattering Abstract: We will give a friendly introduction to the scattering theory, specifically to the matrix for Schrodinger operators.  We will then discuss how a new functional analytic approach to analysis of non-elliptic equations, due to Vasy, gives a conceptually attractive method for proving detailed regularity results for nonlinear scattering.  This is joint work with several groups of authors including Andrew Hassell, Sean Gomes, Jacob Shapiro, and Junyong Zhang. The Dalhousie-AARMS Analysis-Applied Math-Physics Seminar takes place…