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CATEGORIES:Number Theory Seminar
SUMMARY:Theta correspondence via C*-algebras of groups - H
aluk Sengun (University of Sheffield)
DTSTART;TZID=Europe/London:20221011T143000
DTEND;TZID=Europe/London:20221011T153000
UID:TALK180395AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/180395
DESCRIPTION:Theta correspondence is a major theme in the theor
y of automorphic forms and in representation theor
y. In a nutshell\, the correspondence sets up a bi
jection between certain sets of smooth admissible
irreps of a pair of reductive groups G\,H which si
t as each others' centralizers in a larger symplec
tic group.\n\nIn joint work with Bram Mesland (Lei
den)\, we showed that the theta correspondence\, i
n many cases\, can be interpreted within the frame
work of Rieffel's induction theory for representat
ions of C*-algebras. This interpretation reveals s
ome new fundamental features: the theta correspond
ence is functorial and is continuous with respect
to weak containment. In the talk\, I will explain
our approach and time permitting\, will discuss so
me further applications. Many of the results I wil
l discuss can be found in the preprint arXiv:2207.
13484.
LOCATION:Centre for Mathematical Sciences\, MR13
CONTACT:Rong Zhou
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