[Turkmath:6083] Lucas Mason-Brown::04.27.2023-18:00::FGC-Representation Theory Seminars

[kazimilhan.ikeda]

Dear friends,

Welcome to Feza Gursey Center for Physics and Mathematics Representation 
Theory Seminars!

This coming week, on Thursday, April 27, 2023 at 18:00 (Istanbul local 
time); 16:00 (Oxford
local time); our speaker is Lucas Mason-Brown from the University of 
Oxford.

The details of the seminar talk are as follows:

Speaker: Lucas Mason-Brown (University of Oxford).
Date: April 27, 2023, Thursday.
Time: 18:00 Istanbul local time; 16:00 Oxford local time.
Title: Endoscopic lifting and cohomological induction
Abstract:
Let $G$ and $H$ be real reductive groups. To any $L$-homomorphism 
$e:{}^LH\rightarrow {}^LG$ one can associate a map $e_∗$ from virtual 
representations of $H$ to virtual representations of $G$. This map was 
predicted by Langlands and defined (in the real case) by Adams, 
Barbasch, and Vogan. Without further restrictions on $e$, this map can 
be very poorly behaved. A special case in which $e_∗$ exhibits 
especially nice behavior is the case when $H$ is an endoscopic group. In 
this talk, I will introduce a more general class of $L$-homomorphisms 
which exhibit similar behavior to the endoscopic case. I will explain 
how this more general notion of endoscopic lifting relates to the theory 
of cohomological induction. I will also explain how this generalized 
notion of endoscopic lifting can be used to prove the unitarity of many 
Arthur packets. This is based on joint work with Jeffrey Adams and David 
Vogan.

Zoom link details:
Please join Zoom Meeting, which will be active on Thursday, April 27, 
2023 at 17:45 (Istanbul
local time); 15:45 (Oxford local time):

https://ozyegin-edu-tr.zoom.us/j/96956596842?pwd=cDNHQy8vR0lkMk8velhGZDdzU1p1UT09

Meeting ID: 969 5659 6842
Passcode: 442777

Best Regards,
K. Ilhan Ikeda