This is a programme meant essentially for graduate students who wish to work in the general area of Automorphic Respresentations. It is expected that students will already have followed a basic course in Number Theory and will have seen some representation theoruy of finite groups. 

The courses will focus on:

(1) 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 supercuspital representations and relative discrete series representations.
( Fiona Murnaghan)

(2) 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).
(Alexandru Ioan Badulescu)

​(3) Relative trace formula and its applications to symplectic periods both locally and globally. 
​(Omer Offen –  VIDEOS)

(4) The local langlands correspondence: Functoriality, L-functions, gamma functions and the epsilon factors.
​(Dipendra Prasad – VIDEO)

• Volker Heiermann (Aix-Marseille Université)
• Fiona Murnaghan (University of Toronto)
• Dipendra Prasad (TIFR Mumbai & Aix-Marseille Université)

SPEAKERS

Lectures (see information in the left column)

• Alexandru Ioan Badulescu (Université de Montpellier)
• Fiona Murnaghan (University of Toronto)
• Omer Offen (Technion-Israel Institute of Technology)
• Dipendra Prasad (TIFR Mumbai & Aix-Marseille Université)

Research Talks

• Raphaël Beuzart-Plessis (CNRS, National University of Singapore)

Introduction to the local Gan-Gross-Prasad conjectures for orthogonal and unitary groups

• Erez Lapid (Weizmann Institute)

tba

• Joshua Lansky (American University, Washington DC)

Tame Supercuspidal Representations of GL(n) Distinguished by Orthogonal Groups