BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:On the endoscopic classification of representations of classical g
 roups - Tasho Kaletha (University of Bonn)
DTSTART:20260203T143000Z
DTEND:20260203T153000Z
UID:TALK242785@talks.cam.ac.uk
CONTACT:Tim Santens
DESCRIPTION:The endoscopic classification of representations of quasi-spli
 t symplectic and orthogonal groups is a celebrated result of Arthur (exten
 ded to quasi-split unitary groups by Mok) which has had wide applications 
 to representation theory and number theory. It is a collection of many int
 errelated statements that in particular gives a classification of the irre
 ducible admissible representations of such groups over local fields\, and 
 the discrete automorphic representations of such groups over number fields
 \, in terms of A-packets.\n\nUntil recently this result was conditional on
  a number of unproven statements\, in particular the construction\, charac
 ter identities\, and intertwining relations\, of co-tempered A-packets ove
 r non-archimedean local fields. These statements have now been proved in j
 oint work with Atobe\, Gan\, Ichino\, Minguez\, and Shin\, rendering Arthu
 r's result conditional only on the validity of the weighted fundamental le
 mma\, which itself is being currently worked on.\n\nIn this talk I will ex
 plain the general statements in Arthur's classification\, the role played 
 by co-tempered A-packets\, mention some applications\, and touch on the wo
 rk that supplied the missing results.
LOCATION:MR13
END:VEVENT
END:VCALENDAR