BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Laboratoire de Mathématiques de Versailles - ECPv6.3.5//NONSGML v1.0//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Laboratoire de Mathématiques de Versailles X-ORIGINAL-URL:https://lmv.math.cnrs.fr X-WR-CALDESC:évènements pour Laboratoire de Mathématiques de Versailles REFRESH-INTERVAL;VALUE=DURATION:PT1H X-Robots-Tag:noindex X-PUBLISHED-TTL:PT1H BEGIN:VTIMEZONE TZID:Europe/Paris BEGIN:DAYLIGHT TZOFFSETFROM:+0100 TZOFFSETTO:+0200 TZNAME:CEST DTSTART:20200329T010000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:+0200 TZOFFSETTO:+0100 TZNAME:CET DTSTART:20201025T010000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTART;TZID=Europe/Paris:20200526T110000 DTEND;TZID=Europe/Paris:20200526T120000 DTSTAMP:20240328T200219 CREATED:20200525T090102Z LAST-MODIFIED:20200601T094355Z UID:8077-1590490800-1590494400@lmv.math.cnrs.fr SUMMARY:AG - Séminaire dématérialisé : Jiandi Zou (LMV) : Supercuspidal representations of GLn(F) distinguished by a unitary involution DESCRIPTION:Let F/F_0 be a quadratic extension of non-archimedean local fields of residue characteristic p different from 2. Let R be an algebraically closed field of characteristic different from p. For pi a supercuspidal representation of G=GLn(F) over R and H a unitary group in n variables contained in G\, we prove that pi is distinguished by H if and only if pi is Galois invariant. When R is the complex field and F is a p-adic field\, this result first as a conjecture proposed by Jacquet was proved in 2010’s by Feigon-Lapid-Offen by using global method. In this talk\, I will explain how to give a local proof which works for our case in general. Moreover we further study the dimension of distinction and show that it is at most one. \nSlides de l’exposé. \n  \n  \n\nL’exposé sera retransmis via zoom. \nID de réunion : 976 9660 2169 ; contacter Luc Pirio pour le mot de passe. \nAG – Séminaire dématérialisé : Jiandi Zou (LMV) : Supercuspidal representations of GLn(F) distinguished by a unitary involution URL:https://lmv.math.cnrs.fr/evenenement/ag-seminaire-dematerialise-jiandi-zou-lmv-supercuspidal-representations-of-glnf-distinguished-by-a-unitary-involution/ CATEGORIES:Séminaire AG END:VEVENT END:VCALENDAR