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SUMMARY:Emmy-Noether-Seminar: Regularity theorems for invariant eigend
 istributions on reductive symmetric spaces
UID:881749df-effd-403c-b3ec-2c1955cf95db
DESCRIPTION:Regularity theorems for invariant eigendistributions on re
 ductive symmetric spaces Jannik Michel (Padreborn) Abstract: Harish-Ch
 andra&#8217\;s celebrated regularity theorem states that a conjugation
  invariant distribution on a reductive group G which is eigen for the 
 algebra of biinvariant differential operators of G (for example the di
 stributional character of an irreducible unitary representation) is ne
 cessarily a locally integrable function on G that is real analytic on 
 the regular set. It is the technical cornerstone on which Harish-Chand
 ra&#8217\;s original proof of the existence and exhaustion of the disc
 rete series representations is based upon. In this talk I will present
  an analogue of Harish-Chandra&#8217\;s regularity theorem for reducti
 ve symmetric spaces.
DTSTART:20241115T133000Z
DTEND:20241115T143000Z
LOCATION:04.363
DTSTAMP:20260918T062852Z
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