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UID:4987@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20231205T140000
DTEND;TZID=Europe/Paris:20231205T150000
DTSTAMP:20241124T135957Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-80/
SUMMARY: (...): The twisted Gan-Gross-Prasad conjecture over finite fields 
 and p-adic fields
DESCRIPTION:: The Gan-Gross-Prasad (GGP) conjecture studies a family of res
 triction problems for classical groups and proposes precised answers to th
 ese problems using the local and global Langlands correspondences. It also
  has a twisted variant in the Fourier-Jacobi case\, which is called the tw
 isted Gan-Gross-Prasad conjecture. In the first 15 minutes\, I will presen
 t my progress on the twisted GGP problem over finite fields\, which is mot
 ivated by the works of Reeder in Bessel case and Liu-Ma-Shi in Fourier-Jac
 obi case. In the remaining time\, I will go through my work-in-progress on
  the local twisted GGP conjecture for tempered representations of general 
 linear groups. The strategy is to adapt Waldspurger and Beuzart-Plessis’
 s method to develop a local relative trace formula as well as a twisted tr
 ace formula and compare their elliptic parts. Although the geometric sides
  of both trace formulae have not been developed\, one can use a partial co
 mparison and an instance for the Steinberg representation to prove the sta
 tement.
CATEGORIES:Séminaire,Représentations des Groupes Réductifs
LOCATION:I2M Luminy - Ancienne BU\, Salle Séminaire2 (RdC)\, 163 Avenue de
  Luminy\, 13009 Marseille\, France\, 
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, 1300
 9 Marseille\, France\, ;X-APPLE-RADIUS=100;X-TITLE=I2M Luminy - Ancienne B
 U\, Salle Séminaire2 (RdC):geo:0,0
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DTSTART:20231029T020000
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