Rational intertwining operators and j-function

Representation Theory and Automorphic Froms | 24.03.2020 13:15 - 14:45

Peiyi Cui (University of Vienna)

Let G be a p-adic reductive group, M a Levi subgroup of G and k an algebraically closed field of characteristic different from p. In the article “\( \mu \)-tempered representations of p-adic groups I: l-adic case” by Jean-François Dat, he defines a rational intertwining operator for each irreducible k-representation \(\pi\) of M from which he deduces a rational j-function. When M is maximal, we will study through j-function the properties of the parabolic induction of \pi, in particular we will see some equivalent criterions for the existence of cuspidal sub-quotient under some conditions.

This is part of our workgroup on intertwining operators

Organiser:

H. Grobner, A. Minguez-Espallargas, A. Mellit

Location:

Zoom ID: 431 655 310