University of Alberta

In order to construct the moduli space of canonical polarized manifolds, three different stability conditions have been introduced, namely, KSBA-stability, K-stabilty and asymptotic GIT stability. In this talk, we try to explore the relations among...

Optimal partial transport is a variant of optimal transport theory, where only a portion of mass is to be transported in an efficient way. It was initially studied by Caffarelli and McCann. I will explain a joint work in progress with Gonzalo Davila...

Peritoneal dialysis is a life saving treatment for chronic patients with end stage renal disease. The peritoneal cavity, an empty space that separates bowels, abdominal muscles and other organs in the abdominal cavity, is applied as a container for...

Monetary utility functions are -- except for the expected value -- not of von Neumann-Morgenstern type. In case the utility function has convex level sets in the set of probability measures on the real line, we can give some characterisation that...

This talk is about the wavelet frame-based image and video restorations. We start with some of main ideas of wavelet frame based image restorations. Some of applications of wavelet frame based models image analysis and restorations will be shown...

We invite our graduate students to the Palisades Centre in beautiful Jasper National Park. We offer a series of scientific and professional development activities, where we discuss mathematical modelling of biological problems, analysis of partial...

We consider the problem whether small perturbations of integable mechanical systems can have very large effects. It is known that in many cases, the effects of the perturbations average out, but there are exceptional cases (resonances) where the...

It is well-known that there exist many problems in numerical computation for three-dimensional nonlinear partial differential equations. For example, in solving 3D Navier-Stokes equations numerically, we need to consider the following difficulties:1...

One version of homological mirror symmetry relates the algebraic geometry of certain varieties to the symplectic topology of a Lefschetz pencil. Extracting symplectic (i.e. Floer theoretic) invariants from these fibrations is quite difficult, even in...

I will discuss the relationship between degenerations of Fano varieties to toric varieties and expressions for their mirror Landau-Ginzburg models as Laurent polynomials. I will present some recent results that make this relationship precise in the...