School of Mathematics

Day 2

Institute for Advanced Study
May 9, 2011

10:00 am - 11:00 am  Stephane Guillermou, University Grenoble, "Microlocal theory of sheaves and link with symplectic geometry II"

11:30 am - 12:30 pm  David Nadler, Northwestern, "A stable infinity-category of Lagrangian cobordisms"

2:30 pm - 3:30 pm     Dmitry Tamarkin, Northwestern, "Microlocal category for a closed symplectic manifold"

4:30 pm - 5:30 pm     Stephane Guillermou, University Grenoble, "Microlocal theory of sheaves and link with symplectic geometry III"

Day 1

Institute for Advanced Study
May 9, 2011

11:30 am - 12:30 pm  Stephane Guillermou, University Grenoble, "Microlocal theory of sheaves and link with symplectic geometry"

2:30 pm - 3:30 pm   Chris Woodward, Simons Center/Rutgers, "Quasimap Floer cohomology and singular symplectic quotients"

4:30 pm - 5:30 pm   Denis Auroux, UC Berkeley, "Wrapped Fukaya categories of punctured spheres and homological mirror symmetry"

Serre's Conjectures on the Number of Rational Points of Bounded Height

Per Salberger
Chalmers University of Technology
April 28, 2011

JOINT IAS/PU NUMBER THEORY SEMINAR

We give a survey of recent results on conjectures of Heath-Brown and Serre on the asymptotic density of rational points of bounded height. The main tool in the proofs is a new global determinant method inspired by the local real and p-adic determinant methods of Bombieri-Pila and Heath-Brown.

On the Comparison of Trace Formulas

Jim Arthur
University of Toronto
April 28, 2011

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 are related to the comparison of these formulas.

Classification of Representations

Jim Arthur
University of Toronto
April 28, 2011

GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR

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 discrete spectrum if F is global. The classification is by harmonic analysis and endoscopic transfer, which ultimately ties the representations of G to those of general linear groups.