## Even Galois Representations and the Fontaine-Mazur conjecture

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

## The Completed Cohomology of Arithmetic Groups

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

## Descriptions of the Grain-Growth Structure

Jeremy Mason
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.