BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Anne-Marie Aubert (CNRS\, Sorbonne Université) DTSTART:20201218T170000Z DTEND:20201218T180000Z DTSTAMP:20260416T044722Z UID:NTRV/12 DESCRIPTION:Title: $C ^*$-blocks and crossed products for classical $p$-adic groups\nby Anne -Marie Aubert (CNRS\, Sorbonne Université) as part of Number Theory and R epresentations in Valparaiso\n\n\nAbstract\nLet $G$ be the group of $F$-po ints of a quasi-split reductive connected group over a local field $F$. Fo r $F$ real\, Wassermann proved in 1987\, by noncommutative-geometric metho ds\, that each connected component of the tempered dual of $G$ has a simpl e and beautiful geometric structure that encodes the reducibility of induc ed representations. For $F$ $p$-adic\, the existence of such a structure i s far from straightforward. It was established for certain particular conn ected components by R. Plymen and his students.\n\nWe will present a joint work with Alexandre Afgoustidis which first provides a necessary and suff icient condition\, in terms of the Knapp-Stein-Silberger R-groups\, for th e existence of a Wassermann type theorem\, and secondly\ndetermine explici tly the components for which this condition is satisfied when $G$ is a cla ssical $p$-adic group.\n LOCATION:https://researchseminars.org/talk/NTRV/12/ END:VEVENT END:VCALENDAR