Standard modules -and L-functions- conjecture of Shahidi

by Prof. Volker Heiermann (University of Marseille, France)

Tuesday 23 Aug 2011, 16:00 → 18:00 Asia/Kolkata

AG-77 (Colaba Campus)

A famous conjecture of Shahidi says that if a Langlands quotient is generic, then the Langlands quotient is the representation itself. This conjecture was known for real groups by Vogan, and by Casselman-Shahidi for classical groups which this author recently proved in general. There is also a conjecture -called the L-functions conjecture- about holomorphy of L-functions associated to tempered representations in re(s)$ > 0$ which is used in the above conjecture.