Past Events

Let A denote the algebra of all linear operators on a complex vector space V—mostly finite-dimensional for the purposes of this talk. Let G be an irreducible group or semigroup contained in A. (This means that there is no subspace of V other than {0}...

This will be a general talk about the role of dilation theory in studying operators on Hilbert space, illustrated in part by some recent work of mine with Raphaël Clouâtre on multivariable operator theory.

In 1958, Olga Taussky-Todd proposed an exploration into potential unified treatments of a list of properties shared by various classes of “positive matrices”. For instance, item (4) on her original list sought explanations concerning the fact that...

Motivated by subtle questions in Donaldson-Thomas theory, we study the spectrum of the inertia operator on the Grothendieck module of algebraic stacks. We hope to give an idea of what this statement means. Along the way, we encounter some elementary...

Spatially localized structures arise frequently in nature. Examples include localized buckling, spot-like structures in optics and in reaction-diffusion models, vortices in fluid dynamics, as well as localized oscillations known as oscillons. In all...

A video of this event is available on mathtube.org. Most global climate models do not estimate sea level directly. A semi-empirical approach is to relate sea level change to temperature and then apply this relationship to climate model projections of...

The total domination number of a graph G is the minimum cardinality of a set S of vertices so that every vertex of G is adjacent to a vertex in S, while the transversal number of a hypergraph H is the minimum cardinality of a subset of vertices in H...

The talk concerns limit behaviors of stationary measures of diffusion processes generated from white-noise perturbed systems of ordinary differential equations. By relaxing the notion of Lyapunov functions associated with the stationary Fokker-Planck...

Markov chains are a much-studied class of stochastic processes, and it is well known that if the transition matrix A associated with a Markov chain possesses a certain property called primitivity, then the long-term behaviour of the Markov chain is...