Representation Theory and Noncommutative Geometry, Paris

The theta correspondence over p-adic fields in terms of Bernstein blocks of enhanced L-parameters

13 mars 2025, 09:30

1h

Amphitheater Darboux (IHP)

Orateur

Prof. Anne-Marie Aubert (IMJ-PRG CNRS)

Description

I will describe a partition, obtained with A. Moussaoui and M. Solleveld, of enhanced $L$-parameters for $p$-adic reductive groups in -- Galois analogues of -- Bernstein blocks.

Next, in the case of classical groups, I will show the compatibility of the theta correspondence with this partition, and how it allow to obtain an explicit description of the correspondence.

Documents de présentation

AM25_W2--new.pdf