Speaker
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.