## Workshop on Galois Representations and Automorphic Forms

March 21-25,2011

Institute for Advanced Study

March 21, 2011

March 21-25,2011

Adrian Iovita

Corcordia University

March 21, 2011

Vincent Pilloni

Columbia University

March 21, 2011

Tasho Kaletha

Member, School of Mathematics

March 21, 2011

Laurent Clozel

University of Paris-Sud/Member, School of Mathematics

March 21, 2011

Nima Arkani-Hamed

Professor, School of Natural Sciences

March 18, 2011

This is a continuation of Tuesday's talk.

Herbert Spohn

Technical University, Munich

March 18, 2011

We explain an exact solution of the one-dimensional Kardar-Parisi-Zhang equation with sharp wedge initial data. Physically this solution describes the shape fluctuations of a thin film droplet formed by the stable phase expanding into the unstable phase. In the long time limit our solution converges to the Tracy-Widom distribution of the largest eigenvalue of GUE random matrices.

Wladimir de Azevedo Pribitkin

College of Staten Island, CUNY

March 17, 2011

Yichao Tian

Princeton University; Member, School of Mathematics

March 17, 2011

A well known result of Coleman says that p-adic overconvergent (ellitpic) eigenforms of small slope are actually classical modular forms. Now consider an overconvergent p-adic Hilbert eigenform F for a totally real field L. When p is totally split in L, Sasaki has proved a similar result on the classicality of F. In this talk, I will explain how to treat the case when L is a quadratic real field and p is inert in L.

Richard Taylor

Harvard University; Distinguished Visiting Professor, School of Mathematics

March 17, 2011