Special Year 2010-11: Galois Representations and Automorphic Forms - Seminar

We shall recall the spectral terms from the trace formula for G and its stabilaization, as well as corresponding terms from the twisted trace formula for GL(N). We shall then discuss aspects of the proof of the theorems stated in the first talk that...

Suppose that G is a connected, quasisplit, orthogonal or symplectic group over a field F of characteristic 0. We shall describe a classification of the irreducible representations of G(F) if F is local, and the automorphic representations of G in...

The Bernstein center plays a role in the representation theory of locally profinite groups analogous to that played by the center of the group ring in the representation theory of finite groups. When F is a finite extension of Q_p, we discuss the...

These two talks will be about automorphic cohomology in the non-classical case. By definition, automorphic cohomology are the groups $H^q( \Gamma \backslash D, L)$ where $D$ is a homogeneous complex manifold $G_{\mathbb R}/H$, $G_{\mathbb R}$ is a...

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...