Introduction to Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms (1550)
Dates: 16-20 May 2016 at CIRM (Marseille Luminy, France)
This is a program meant essentially for graduate students who wish to work in the general area of Automorphic Representations. It is expected that the students have had a basic course in Number theory, and have seen some representation theory of finite groups.
The program will consists of four main speakers (each giving 4 lectures).
(1) Fiona Murnaghan
Reductive p-adic symmetric spaces/varieties, distinguished representations, parabolic subgroups adapted to involutions of reductive groups, relative (i.e. symmetric space) analogue of Jacquet's subrepresentation theorem, relatively supercuspidal representations and relative discrete series representations.
(2) Alexandru Ioan Badulescu
An introduction to trace formula and application to the Jacquet-Langlands correspondence for GL(n), following his paper on the subject in Inventiones, 2008 (383-438).
(3) Omer Offen - link to VIDEOS
Relative trace formula and applications to symplectic periods both locally and globally.
(4) Dipendra Prasad - link to VIDEO
The local Langlands correspondence: Functoriality, L-functions, gamma functions and the epsilon factors.