Previous Conferences & Workshops

Random band matrices have been proposed as an effective, or toy, model for a disorder induced localization-delocalization transition of eigenstates. Most results about these matrices, and the transition, are based on numerics or on calculations with...

We will discuss the ideas of the proof of the finite generation theorem, by looking at several special cases.

I will attempt to summarize the results in the following two papers, jointly written with R. Kottwitz and R. MacPherson: "Equivariant cohomology, Koszul duality, and the localization theorem" (Inv. Math., 1998) and "Homology of affine Springer...

Weyl group multiple Dirichlet series are multiple Dirichlet series in several variables whose coefficients involve Gauss sums and also reflect the combinatorics of a given root system. The earliest examples came from Mellin transforms of metaplectic...

We investigate the complexity of the following polynomial solvability problem---given a finite field $\mathbb F_q$ and a set of polynomials $f_1, f_2, \dotsc, f_m \in \mathbb F_q[x_1, x_2, \dotsc, x_n]$ of total degree at most $d$, determine the...

In this talk, I'd like to discuss an intriguing equidistribution property of automorphic forms on arithmetic quotients of homogeneous varieties, focusing on cuspidal Hecke eigenforms for Sp(n, Z), the Siegel modular group of genus n. Our approach is...

We propose and discuss two conjectures on the nature of errors in highly correlated noisy physical stochastic systems. The first asserts that errors for a pair of substantially correlated elements are themselves substantially correlated. The second...