BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Omer Offen (Brandeis University)
DTSTART:20230926T203000Z
DTEND:20230926T213000Z
DTSTAMP:20260423T125027Z
UID:MITNT/76
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/76/">A
  new application of the residue method</a>\nby Omer Offen (Brandeis Univer
 sity) as part of MIT number theory seminar\n\nLecture held in Room 2-449 i
 n the Simons Building (building 2).\n\nAbstract\nThe relative Langlands pr
 ogram studies the relations between functorial transfers of automorphic re
 presentations from one group $G'$ to another group $G$\, period integrals 
 over a subgroup $H$ of $G$ and special $L$-values.\nWhen $(G\,H)$ is a van
 ishing pair\, that is\, every cusp form of G has a vanishing $H$-period\, 
 it is of interest to study discrete automorphic representations that admit
  a non-vanishing $H$-period.\nFor this task\, Jacquet and Rallis developed
  the residue method. \n It has since been used extensively\, mostly for re
 presentations with cuspidal data lying in a maximal Levi subgroup of G. In
  this talk we focus on the case where $H=Sp(a)\\times Sp(b)$ lies in $G=Sp
 (a+b)$. We will introduce a new construction of some residual representati
 ons of G that admit H-periods. This is joint work in progress with Sol Fri
 edberg and David Ginzburg.\n
LOCATION:https://researchseminars.org/talk/MITNT/76/
END:VEVENT
END:VCALENDAR