School of Mathematics Colloquium

`Self-dual representations with vectors fixed under an Iwahori subgroup'

by Dr. Kumar Balasubramanian

Thursday, November 22, 2012 from to (Asia/Kolkata)
at Colaba Campus ( AG-69 )
Description
An irreducible smooth self-dual representation of a reductive $p$-adic group preserves either a non-zero symmetric or a nonzero 
alternating form on the underlying space and accordingly is said to have sign plus one or minus one. There is strong evidence 
that this sign is always one in the case of representations with non-trivial Iwahori fixed vectors. We will discuss some of this 
evidence.