Previous Special Year Seminar

Oct
19
2011

Symplectic Dynamics Seminar

Riemannian Exponential Map on the Group of Volume-Preserving Diffeomorphisms
4:00pm|S-101

In 1966 V. Arnold showed how solutions of the Euler equations of hydrodynamics can be viewed as geodesics in the group of volume-preserving diffeomorphisms. This provided a motivation to study the geometry of this group equipped with the $L^2$...

Apr
28
2011

Galois Representations and Automorphic Forms Seminar

On the Comparison of Trace Formulas
Jim Arthur
2:15pm|S-101

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...

Apr
28
2011

Galois Representations and Automorphic Forms Seminar

Classification of Representations
Jim Arthur
1:00pm|S-101

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...

Apr
14
2011

Galois Representations and Automorphic Forms Seminar

The Bernstein Center of the Category of Smooth W(k)[GL_n(F)]-Modules
David Helm
2:15pm|S-101

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...

Apr
06
2011

Galois Representations and Automorphic Forms Seminar

Automorphic Cohomology II (Carayol's work and an Application)
Phillip Griffiths
2:00pm|S-101

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...