School of Mathematics Seminars and Lectures

Standard modules -and L-functions- conjecture of Shahidi

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

Tuesday, August 23, 2011 from to (Asia/Kolkata)
at Colaba Campus ( AG-77 )
Description
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.