Previous Conferences & Workshops

I will describe a lower bound for the rank of any real matrix in which all diagonal entries are significantly larger in absolute value than all other entries. This simple result has a surprising number of applications in Geometry, Coding Theory...

Spectral properties of random band matrices can be expressed in terms certain statistical mechanics models. Some of these models are generalizations of the Ising model except that the spins belong the the Poincare superdisc and there is...

Let G be a finitely generated group equipped with the word metric. Assume that G does not admit a bi-Lipschitz embedding into Hilbert space. How can we quantify the extent to which G is non-Hilbertian? A natural approach is to consider the Hilbert...

An important result of Waldspurger relates the central value of quadratic base change L-functions for GL(2) to period integrals over tori. Subsequently this result was reproved by Jacquet using the relative trace formula. We will explain some...

We give a probabilistic protocol that allows any two points in R^d to agree on a nearby integer lattice point in Z^d . The protocol uses shared randomness, but no communication. If the distance between the two points is delta, the probability of...