Speaker: Prashant Arote, IISER Pune.

Title: Harish-Chandra Induction and Jordan Decomposition of Characters
 
Abstract:
 Let G be a connected reductive group defined over a finite field 𝔽q and let
F:G→ G be the corresponding Frobenius morphism.
Let L be a Levi factor of a F-stable parabolic subgroup of G.
Endomorphism algebras of  representations parabolically induced from cuspidal representations
 of LF were described by Howlett and Lehrer.
In this talk, we show that any such algebra is isomorphic to the twisted endomorphism algebra
of a representation which is parabolically induced from a unipotent cuspidal representation of
 Levi subgroup of a finite reductive group.
As an application, we show that for any finite connected reductive group, a Jordan decomposition
can be chosen such that it commutes with Harish-Chandra induction.
This is a joint work with Manish Mishra.

We will have  *Sridhar Narayanan* speaking in our RTAG seminar from 2pm to
3:30pm on Friday.

Here are the necessary details for his 4th talk:

Time: Friday, 26 August, 2:00 – 3:30 pm.

Venue : Room No 215, Department of mathematics.

Title: Okounkov-Vershik approach to the representation theory of symmetric
groups.

Abstract: In this series of talks we will bootstrap the representation
theory of symmetric groups inductively, following the 2005 revision of
Vershik's and Okounkov's seminal paper on the topic.



We have now a dedicated website where one can find the notes and resources
from the past meets and announcements of the upcoming meetings:

https://sites.google.com/view/rtag/

Speaker: Suprajo das, IIT Bombay

Date and time: 26 August 2022, 3.30pm-5.00 pm

Venue: Ramanujan Hall

Title: Numerical aspects of Epsilon multiplicity III

Abstract: In the third talk on this topic we shall focus on the epsilon 
multiplicity of
ideals in a regular local ring of dimension 3. We will mostly give a 
survey of the
known results and discuss some open questions in this setup.