## Even Galois Representations and the Fontaine-Mazur conjecture

Frank Calegari

Northwestern University; Institute for Advanced Study

October 14, 2010

Frank Calegari

Northwestern University; Institute for Advanced Study

October 14, 2010

Institute for Advanced Study

October 7, 2010

Pierre Colmez

Institute for Advanced Study

October 14, 2010

Pierre Colmez

National Center for Scientific Research; Institute for Advanced Study

October 14, 2010

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.

Shmuel Fishman

Technion, Haifa, Israel

September 22, 2010

Yves Capdeboscq

University of Oxford; Institute for Advanced Study

October 8, 2010

Institute for Advanced Study

September 1, 2010

Jean-Marc Fontaine

University of Paris-Sud 11; Institute for Advanced Study

October 14, 2010

Jeremy Mason

Institute for Advanced Study

October 12, 2010