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.

Imaging of Small Inhomogeneities, Homogenization and Super Resolution

Yves Capdeboscq
University of Oxford; Institute for Advanced Study
October 8, 2010

Overview of the p-Adic Local Langlands Correspondence for $GL(2,Q_p)$

Pierre Colmez
National Center for Scientific Research
October 7, 2010

(Introduction to the Lecture Series and and overview for those unable to attend the whole Lecture Series)

The Completed Cohomology of Arithmetic Groups

Frank Calegari
Northwestern University; Member, School of Mathematics
October 6, 2010

Matthew Kahle