Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Sarah Dijols
Affiliation:

University of Aix-Marseille/MPIM
Date:

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

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/4234

[3] http://www.mpim-bonn.mpg.de/node/246