Past Events

Instructors will spend a day or two sharing information and current events and developments in the mathematical sciences in Alberta colleges and universities, and hear research presentations and pedagogical talks. The participants are new and...

This will be a mostly expository talk on the new 3-manifold invariant, Heegaard-Floer homology, developed in the last decade in a series of remarkable papers by Ozsvath and Szabo. Emphasis will be on the remarkable applications of the theory.

We classify bifurcations of the asymmetric states from a family of symmetric states in the focusing (attractive) Gross-Pitaevskii equation with a symmetric double-well potential. Depending on the shape of the potential, both supercritical and...

I aim to explain a recent paper of my collaborator Bai-Ling Wang in which he proves that there is a generalisation of the Baum-Douglas geometric cycles which realise ordinary K-homology classes to the case of twisted K-homology. We propose that these...

Abstract Tropicalization is a technique that transforms algebraic geometric objects to combinatorial objects. Specifically, it associates polyhedral complex to subvarieties of an algebraic torus. One may ask which polyhedral complexes arise in this...

TBA

A fundamental problem in the area of quantum chaos is to understand the distribution of high eigenvalue eigenfunctions of the Laplacian on certain Riemannian manifolds. A particular case which is of interest to number theorists concerns hyperbolic...

The Vlasov-Poisson System models a collisionless plasma when the particle velocities are sufficiently small compared to the speed of light. It was shown in the early 90s that smooth compactly supported initial data lead to solutions that remain...

We introduce and explore some concepts of weak solution for particular nonlinear partial differential equations.These notions have their roots in the fundamental work of A. D. Aleksandrov on the Monge-Ampere measure. We also consider applications to...

In the 1990's, Greg Arone gave a description of the Snaith splitting of spaces of the form $\Omega^m \Sigma^m X$. His method extended to give a kind of functorial filtration of any space of the form Maps(K, X) where K is a finite complex. In good...