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SUMMARY:Melissa Emory (Univ. of Toronto)
DTSTART:20201110T210000Z
DTEND:20201110T220000Z
DTSTAMP:20260423T005853Z
UID:UAANTS/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/6/">A
  multiplicity one theorem for general spin groups</a>\nby Melissa Emory (U
 niv. of Toronto) as part of University of Arizona Algebra and Number Theor
 y Seminar\n\n\nAbstract\nA classical problem in representation theory is h
 ow a\nrepresentation of a group decomposes when restricted to a subgroup. 
 In the\n1990s\, Gross-Prasad formulated a conjecture regarding the\nrestri
 ction of representations\, also known as branching laws\, of special\north
 ogonal groups.  Gan\, Gross and Prasad extended this conjecture\, now\nkno
 wn as the local Gan-Gross-Prasad (GGP) conjecture\, to the remaining\nclas
 sical groups. There are many ingredients needed to prove a local GGP\nconj
 ecture.  In this talk\, we will focus on the first ingredient: a\nmultipli
 city at most one theorem.\nAizenbud\, Gourevitch\, Rallis and Schiffmann p
 roved a multiplicity at\nmost one theorem for restrictions of irreducible 
 representations of\ncertain p-adic classical groups and Waldspurger proved
  the same theorem\nfor the special orthogonal groups. We will discuss work
  that establishes a\nmultiplicity at most one theorem for restrictions of 
 irreducible\nrepresentations for a non-classical group\, the general spin 
 group. This is\njoint work with Shuichiro Takeda.\n
LOCATION:https://researchseminars.org/talk/UAANTS/6/
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