Symplectic Homogenization

Claude Viterbo
Ecole Polytechnique; Institute for Advanced Study
October 11, 2010

Given a Hamiltonian on $T^n\times R^n$, we shall explain how the sequence of suitably rescaled (i.e. homogenized) Hamiltonians, converges, for a suitably defined symplectic metric. We shall then explain some applications, in particular to symplectic topology and invariant measures of dynamical systems.

Jeremy Mason
October 12, 2010

The Completed Cohomology of Arithmetic Groups

Frank Calegari
Northwestern University; Member, School of Mathematics
October 13, 2010

The Fundamental Curve of p-Adic Hodge Theory

Jean-Marc Fontaine
University of Paris-Sud 11; Institute for Advanced Study
October 14, 2010

Lecture 1

Pierre Colmez
National Center for Scientific Research; Institute for Advanced Study
October 14, 2010

Even Galois Representations and the Fontaine-Mazur conjecture

Frank Calegari
Northwestern University; Institute for Advanced Study
October 14, 2010