BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Melissa Emory (Toronto) DTSTART:20201026T230000Z DTEND:20201026T235000Z DTSTAMP:20260423T022916Z UID:UCLA_NTS/13 DESCRIPTION:Title: A multiplicity one theorem for general spin groups\nby Melissa Emory (Toronto) as part of UCLA Number Theory Seminar\n\n\nAbstract\nA classica l problem in representation theory is how a\nrepresentation of a group dec omposes when restricted to a subgroup. In the\n1990s\, Gross-Prasad formul ated an intriguing conjecture regarding the\nrestriction of representation s\, also known as branching laws\, of special\northogonal groups. Gan\, G ross and Prasad extended this conjecture\, now\nknown as the local Gan-Gro ss-Prasad (GGP) conjecture\, to the remaining\nclassical groups. There are many ingredients needed to prove a local GGP\nconjecture. In this talk\, we will focus on the first ingredient: a\nmultiplicity at most one theore m.\nAizenbud\, Gourevitch\, Rallis and Schiffmann proved a multiplicity (a t\nmost) one theorem for restrictions of irreducible representations of\nc ertain p-adic classical groups and Waldspurger proved the same theorem\nfo r the special orthogonal groups. We will discuss work that establishes a\n multiplicity (at most) one theorem for restrictions of irreducible\nrepres entations for a non-classical group\, the general spin group. This is\njoi nt work with Shuichiro Takeda.\n LOCATION:https://researchseminars.org/talk/UCLA_NTS/13/ END:VEVENT END:VCALENDAR