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Speaker:

Sarah Dijols
Affiliation:

University of Aix-Marseille/MPIM
Date:

Fri, 2018-06-15 11:15 - 12:15
Location:

MPIM Seminar Room
Parent event:

Number theory lunch seminar The Generalized Injectivity Conjecture of Casselman-Shahidi states that the unique irreducible

generic subquotient of a (generic) standard module is necessarily a subrepresentation. It is related

to $L$-functions, as studied by Shahidi, hence has some number-theoretical flavor, although our

technics lie in the fields of representations of reductive groups over local fields.

It was proven for classical groups (SO(2n+1), $Sp_{2n}$, SO(2n)) by M.Hanzer in 2010.

In this talk, I will first explain our interest in this conjecture, and describe its main ingredients.

I will further present our proof (under some restrictions) which uses techniques more amenable

to prove this conjecture for all quasi-split groups.

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