University of Alberta

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...

De Giorgi stated his conjecture for bounded monotone solutions of the Allen-Cahn equation in 1978. Even after 35 years this conjecture plays a fundamental role in the theory of nonlinear elliptic PDEs. This celebrated conjecture lies in the...

I will describe in this talk some mathematical problems related to anomalous diffusion. Such a diffusion is driven by Levy processes, i.e. stochastic processes with jumps. At the PDE level, it gives a fractional laplacian, in the simplest case. Such...

This is joint work with Tony Wong and Gjergji Zaimi. Relative BPS state counts for log Calabi-Yau surface pairs were introduced by Gross-Pandharipande-Siebert and conjectured to be integers. For toric Del Pezzo surfaces, a proof of this conjecture...

This is part II of the talk on adinkra chromotopologies and dessins.

Peter Overholser will review Gross's tropical description of mirror symmetry for P2 and explain how its structures can be expanded to yield new tropical invariants.