Special lectures by Prof. Wee Teck Gan (National University of Singapore) will take place as follows:

Date & Time

December 8, 2015 - January 5, 2016
Tuesday, December 8, 15:00-17:00
Tuesday, December 15, 15:00-17:00
Friday, December 18, 15:00-17:00
Tuesday, December 22, 15:00-17:00
Tuesday, January 5, 15:00-17:00

Venue

127 Conference room, Faculty of Science Bldg. #3, Kyoto University

Title

Globalization of supercuspidal representations over function
fields and applications

Abstract

I will describe how one can use Poincare series to construct cuspidal automorphic representations of connected reductive group over a global function field with a given supercuspidal local component and prescribed behavior (such as ramification) at all other places. This globalization result can be used to complete the Langlands-Shahidi theory over function fields (a recent result of Luis Lomeli). Combining this with the recent construction by Vincent Lafforgue of the global Langlands correspondence over function fields, one can prove stability of arbitrary Langland-Shahidi gamma factors and obtain the local Langlands correspondence for classical groups. I will discuss some of these applications and if time permits (for me to understand it), I will give a sketch of the Lafforgue's construction.

Language

English