Previous Conferences & Workshops

We will survey the role played by some classes of higher order integral conformal invariants in conformal geometry which include the integral of Q-curvature and those related to the Gauss-Bonnet integrand. We will also discuss a class of integral...

The local ratio framework introduced by Bar Yehuda and Evan in 1981 provides a unified framework for many approximation algorithms. Recently, the local ratio technique has been used to provide efficient approximation algorithms for a number of...

We'll discuss the quantum unique ergodicity conjecture of Rudnick and Sarnak and its holomorphic analogue. Highlighting the key ideas in recent joint work with with K. Soundararajan, we'll demonstrate how one may use number theoretic techniques to...

The Balescu-Lenard equation from kinetic theory--which was earlier derived in a more complicated form by Bogoliubov--is widely considered to include a highly accurate correction to Landau’s fundamental model for grazing collisions. So far this...

In this talk, I will discuss the quadruple junction solutions in the entire three dimensional space to a vector-valued Allen-Cahn equation which models multiple phase separation. The solution is the basic profile of the local structure near a...

Affine extractors are maps over F^n that are balanced on every affine subspace of large enough dimension. A random map is, with high probability, a good affine extractor. However so far we do not know how to build explicit affine extractors that are...

Manifolds with geometric structure carry large and useful families of non-standard “subharmonic” functions. For example, any almost complex manifold with hermitian metric carries plurisubharmonic functions. Moreover, it also carries “Lagrangian...

We prove that NP is different from coNP and coNP is not a subset of MA in the number-on-forehead model of multiparty communication complexity for up to k=(1 - e)log(n) players, where e>0 is any constant. Prior to our work, the problem was open even...