BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Chung-Ru Lee (Duke University) DTSTART:20220106T020000Z DTEND:20220106T030000Z DTSTAMP:20260423T005829Z UID:POINTS/24 DESCRIPTION:Title: Endoscopic Relative Orbital Integrals on a Unitary Group\nby Chung-Ru Lee (Duke University) as part of POINTS - Peking Online International Numb er Theory Seminar\n\n\nAbstract\nThe characterization of distinguished rep resentations is crucial for studying automorphic representations. The cele brated conjectures of Sakellaridis and Venkatesh provide such a characteri zation in many cases. In particular\, they provide a conjectural descripti on of the representations of a split reductive group that are distinguishe d by a split reductive spherical subgroup. However\, there remain many mys teries when the generic stabilizer is disconnected.\n\nThe comparison of r elative trace formulae\, initially suggested by Jacquet\, has been one of the most effective ways to study distinction problems in automorphic repre sentation theory. Stabilization is a pivotal step for the comparison of re lative trace formulae. To prepare for stabilization\, one needs to investi gate the endoscopic relative orbital integrals.\n\nIn this talk\, we study the endoscopy theory for unitary groups in a relative setting where the g eneric stabilizer is disconnected and finite over a $p$-adic field. This t alk aims to compute an explicit formula for endoscopic relative orbital in tegrals.\n\nZoom number: 859 0713 0926\n\nPassword: 243862\n LOCATION:https://researchseminars.org/talk/POINTS/24/ END:VEVENT END:VCALENDAR