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SUMMARY:Lucas Mason-Brown (University of Oxford)
DTSTART:20230427T150000Z
DTEND:20230427T160000Z
DTSTAMP:20260422T213017Z
UID:FCGRepresentationTheorySeminars/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCGRepresent
 ationTheorySeminars/1/">Endoscopic lifting and cohomological induction</a>
 \nby Lucas Mason-Brown (University of Oxford) as part of Feza Gursey Cente
 r Representation Theory Seminars\n\n\nAbstract\nLet $G$ and $H$ be real re
 ductive groups. To any $L$-homomorphism $e:{}^LH\\rightarrow {}^LG$ one ca
 n associate a map $e_∗$ from virtual representations of $H$ to virtual r
 epresentations of $G$. This map was predicted by Langlands and defined (in
  the real case) by Adams\, Barbasch\, and Vogan. Without further restricti
 ons on $e$\, this map can be very poorly behaved. A special case in which 
 $e_∗$ exhibits especially nice behavior is the case when $H$ is an endos
 copic group. In this talk\, I will introduce a more general class of $L$-h
 omomorphisms which exhibit similar behavior to the endoscopic case. I will
  explain how this more general notion of endoscopic lifting relates to the
  theory of cohomological induction. I will also explain how this generaliz
 ed notion of endoscopic lifting can be used to prove the unitarity of many
  Arthur packets. This is based on joint work with Jeffrey Adams and David 
 Vogan.\n
LOCATION:https://researchseminars.org/talk/FCGRepresentationTheorySeminars
 /1/
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