Previous Conferences & Workshops

This series of three talks will give a nontechnical, high level overview of geometric complexity theory (GCT), which is an approach to the P vs. NP problem via algebraic geometry, representation theory, and the theory of a new class of quantum...

Let S be a Shimura variety and L a set of special points on S. Andre and Oort conjecture that any irreducible component of the Zariski-closure of L is a subvariety of Hodge type of S. I will indicate a proof of this conjecture under GRH (this is...

In this talk, I will try to explain some of the interest in the question of the computation of the homology of a space from noisy data samples as it relates to clustering and other natural problems. Moreover, I will also try to indicate some...

Spectral prosperities of random matrices can be described in terms of correlations of a statistical mechanics model with hyperbolic symmetry. This talk will describe and analyze a simpler version of this model which is closely related to random walk...

I shall explain how to obtain Strichartz estimates with no loss for Schrodinger equation in some cases where the geodesic flow has some trapped trajectories, but the flow is hyperbolic. (This is joint work with Burq and Hassell.)

The first aim of Fefferman-Graham ambient metric construction was to write down all scalar invariants of conformal structures. For odd dimensions, the aim was achieved with the aid of the parabolic invariant theory by Bailey, Eastwood and Graham. In...

We will describe the recent proof of the 1990 Linial-Nisan conjecture. The conjecture states that bounded-depth boolean circuits cannot distinguish poly-logarithmically independent distributions from the uniform one. The talk will be almost...

A pseudo-hermitian structure in 3-D is a contact form and an almost complex structure on the kernel of the contact form. There is a natural notion of area and mean curvature for a surface in such a geometry. I will discuss some work on the structure...