Previous Conferences & Workshops

The Unique Games Conjecture (Khot, 2002) is a central open question about hardness of approximation. In recent years, a sequence of works showed that the truth of this conjecture would have profound implications: If the conjecture is true, then...

In this talk I will go over a new approach to the Beurling-Selberg extremal problem for even functions based on the solution for the Gaussian and tempered distribution arguments. This provides interesting applications to analytic number theory...

Suppose E is a rational elliptic curve and p is a given prime. It is of interest to know that there exists a square free integer D such that the D-th quadratic twist E_D of E such that the p-Selmer group of E_D is trivial. The existence of such a D...

Let K/Q be an extension of number fields. The Hasse norm theorem states that when K is cyclic any non-zero element of Q can be represented as a norm from K globally if and only if it can be represented everywhere locally. In this talk I will discuss...

In this survey lecture (which will be continued), I plan to explain basic aspects of the representation theory of finite groups, and how these are applied to various questions regarding expansion and random walks on groups. These applications...

I'll give a brief survey of Heegaard Floer homology, one of the latest and most powerful descendants of the Gauge theories of the 80's and 90's, and I'll discuss established and conjectured connections between Heegaard Floer homology and Khovanov...

I will be describing recent joint efforts with Tim Gowers to decompose a bounded function into a sum of polynomially structured phases and a uniform error, based on the recent inverse theorem for the U^k norms on F_p^n by Bergelson, Tao and Ziegler...

We want to describe the eigenmodes of the Laplace-Beltrami operator on a compact Riemannian manifold of negative curvature, in the high-energy limit. In this aim, we study the semiclassical measures (a.k.a. quantum limits) associated with (infinite)...

Generalized modular functions are holomorphic functions on the complex upper half-plane, meromorphic at the cusps that satisfy the usual definition of a modular function, however with the important exception that the character need not be unitary...