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SUMMARY:Emmy-Noether-Seminar: Kirillov's orbit method for the Baum-Con
 nes conjecture for algebraic groups
UID:91bd2320-4b10-46f1-9553-d35cf25fbe0f
DESCRIPTION:Kirillov&#8217\;s orbit method for the Baum-Connes conject
 ure for algebraic groups Kang Li Abstract: The orbit method for the Ba
 um-Connes conjecture was first developed by Chabert and Echterhoff in 
 the study of permanence properties for the Baum Connes conjecture. Tog
 ether with Nest they were able to apply the orbit method to verify the
  conjecture for almost connected groups and p-adic groups. In this tal
 k\, we will discuss how to prove the Baum-Connes conjecture for linear
  algebraic groups over local fields of positive characteristic along t
 he same idea. It turns out that the unitary representation theory of u
 nipotent groups plays an essential role in the proof. As an example\, 
 we will concentrate on the Jacobi group\, which is the semi-direct pro
 duct of the symplectic group with the Heisenberg group. It is well-kno
 wn that the Jacobi group has Kazhdans property (T)\, which is an obsta
 cle to prove the Baum-Connes conjecture. If time permits\, we will als
 o discuss my recent joint work with Maarten Solleveld about quasi-redu
 ctive groups.
DTSTART:20230210T133000Z
DTEND:20230210T143000Z
LOCATION:04.363
DTSTAMP:20260917T063652Z
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