University of Alberta

Industrial partners often have very high expectations concerning numerical modeling: accuracy, efficiency, robustness and, whenever possible, low computation costs and this, for very complex problems. In the last few years, we have concentrated our...

Ferrohydrodynamics describes the dynamics of ferrofluids -- colloids with nano-sized magnetic particles. Since its discovery in the 1960s, such fluids have found many applications in science and engineering. On the other hand, the physical modeling...

There are two competing descriptions of nematic liquid crystaldynamics: the Ericksen-Leslie director theory and the Eringenmicropolar approach. Up to this day, these two descriptions haveremained distinct in spite of several attempts to show that...

In this talk, we will focus on the global regularity problem concerning some generalized versions of the Boussinesq system. The problems are raised from a group of dissipative operators which are in the slightly super-critical regime. A generalized...

The main goal of the conference is to bring together mathematicians and physicists who work on ideas related to string theory. String theory, as well as quantum field theory, has contributed a series of profound ideas which gave rise to entirely new...

The extended W-algebra of type sl_2 at positive rational level is a vertex operator algebra that is of great interest in logarithmic conformal field theory. In this talk I will give an overview of how it is constructed as a subvertex operator algebra...

In this talk I will present some recent results on the conformal formulations of the Einstein constraint equations on compact manifolds with boundary. This is an important problem in general relativity, and it is particularly important in numerical...

Recently, a new approach for the numerical discretization of the Euler equations of an ideal fluid has been developed. It is based on a spatial discretization of the group of volume preserving diffeomorphisms of the fluid's domain by means of a Lie...

Motivated partly by previous work on the zero curvature representation (ZCR) of completely integrable chiral models and partly by the underlying Hamiltonian structures of ideal complex fluids, we derive systems of partial differential equations...

The concept of lattice polarization for a K3 surface was first introduced by Nikulin. I will discuss ways in which his definition can be extended to families of K3 surfaces over a (not necessarily simply connected) base curve, with the aim of gaining...