7. Lie Groups and Lie Algebras

Algebraic and arithmetic groups. Structure, geometry and representations of Lie groups (including real, p-adic and finite of Lie type) and Lie algebras including infinite dimensional ones. Related geometric and algebraic objects, e.g. symmetric spaces, buildings, vertex operator algebras, Coxeter groups, quantum groups. Non-commutative harmonic analysis. Geometric methods in representation theory. Automorphic forms over global fields, including Langlands program. Shimura varieties. Discrete subgroups of Lie groups. Lie groups and dynamics, including applications to number theory.

INVITED SPEAKERS


Roman V. Bezrukavnikov   
MIT, Cambridge, Massachusetts, USA
Springer resolution, noncommutative resolutions and representation theory
Wednesday, August 23, 16:00-16:45

A. Braverman
Brown University, Providence, USA
Spaces of quasi-maps into the flag varieties and their applications
Tuesday, August 29, 15:00-15:45

I. Grojnowski
University of Cambridge, Cambridge, United Kingdom
The Satake isomorphism
Saturday, August 26, 16:00-16:45

G. Henniart   
Université Paris-Sud, Orsay, France
Recent progress on the Jacquet-Langlands correspondence
Monday, August 28, 15:00-15:45

N. Monod     
University of Chicago, Chicago, USA
An invitation to bounded cohomology
Tuesday, August 29, 16:00-16:45

Bao-Chau Ngo        
Université de Paris-Sud, Orsay, France
Fibration de Hitchin et structure endoscopique de la formule des traces
Tuesday, August 29, 17:00-17:45

E.M. Opdam 
Universiteit van Amsterdam, Amsterdam, The Netherlands
Hecke algebras and harmonic analysis
Saturday, August 26, 15:00-15:45

P. Schneider 
Universität Münster, Münster, Germany
Continuous representation theory of p-adic Lie groups
Wednesday, August 23, 17:00-17:45

Y. Shalom    
Tel Aviv University, Tel Aviv, Israel
The algebraization of Kazhdan's property (T)
Friday, August 25, 17:00-17:45

B. Speh        
Cornell University, Ithaca, USA
Representation theory and the cohomology of arithmetic groups
Friday, August 25, 18:00-18:45

D. Soudry     
Tel Aviv University, Tel Aviv, Israel
Rankin-Selberg integrals, the descent method, and Langlands functoriality
Monday, August 28, 16:00-16:45

T.A. Springer
Universiteit Utrecht, Utrecht, The Netherlands
Some results on compactifications of semisimple groups
Wednesday, August 23, 15:00-15:45