Past Events

Kostant's remarkable formula (which I will recall) generalizes to smooth Schubert varieties in the flag variety G/B of an algebraic group G. On the other hand, Sara Billey noticed that rationally smooth Schubert varieties in G/B give an analogous...

We will describe a current approach to understanding stationary states in non-equilibrium statistical mechanics. We will then consider two examples: a system of stochastic differential equations for coupled oscillators, and a stochastic wave equation...

In the 1960s, Wall developed a theory of finiteness obstructions for CW-complexes. We extend this result to diagrams of spaces and use it to investigate which homotopy G-spheres can be realized on a finite complex. We will conclude with some new...

We present a general variational method, involving self-dual variational calculus, for recovering non-linearities from prescribed solutions for certain types of PDEs which are not necessarily of Euler-Lagrange type, including parabolic equations. The...

Computer algebra systems like Maple and Mathematica spend most of their time doing either polynomial arithmetic or linear algebra. For polynomials in one variable of degree n, the Fast Fourier Transform gives us an O(n log n) multiplication algorithm...

In symbolic dynamics, a Z^d shift of finite type (or SFT) is the set of all ways to assign elements from a finite alphabet A to all sites of Z^d, subject to local rules about which elements of A are allowed to appear next to each other. A fundamental...

I will discuss some deformation properties of Fano varieties. The general methods rely on the investigation of the variation of the cone of effective curves and, more generally, of the Mori chamber decomposition, which, according to Mori theory...