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The Generalized Injectivity Conjecture - CANCELLED -

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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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