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SUMMARY:Theta correspondence via C*-algebras of groups - Haluk Sengun (Uni
 versity of Sheffield)
DTSTART:20221011T133000Z
DTEND:20221011T143000Z
UID:TALK180395@talks.cam.ac.uk
CONTACT:Rong Zhou
DESCRIPTION:Theta correspondence is a major theme in the theory of automor
 phic forms and in representation theory. In a nutshell\, the correspondenc
 e sets up a bijection between certain sets of smooth admissible irreps of 
 a pair of reductive groups G\,H which sit as each others' centralizers in 
 a larger symplectic group.\n\nIn joint work with Bram Mesland (Leiden)\, w
 e showed that the theta correspondence\, in many cases\, can be interprete
 d within the framework of Rieffel's induction theory for representations o
 f C*-algebras. This interpretation reveals some new fundamental features: 
 the theta correspondence is functorial and is continuous with respect to w
 eak containment. In the talk\, I will explain our approach and time permit
 ting\, will discuss some further applications. Many of the results I will 
 discuss can be found in the preprint arXiv:2207.13484.
LOCATION:Centre for Mathematical Sciences\, MR13
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