BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Christian Johansson (Chalmers/Gothenburg) DTSTART:20220504T160000Z DTEND:20220504T172000Z DTSTAMP:20260423T035751Z UID:RAMpAGe/68 DESCRIPTION:Title: Signs of a p-adic geometric Langlands correspondence: part I\nby Chri stian Johansson (Chalmers/Gothenburg) as part of Recent Advances in Modern p-Adic Geometry (RAMpAGe)\n\n\nAbstract\nRecent developments in the geome trization of local Langlands correspondence suggests\, among other things\ , that the category of smooth complex representations of a p-adic group ca n be embedded fully faithfully into a category of ind-coherent sheaves on a moduli space of Weil-Deligne representations. For the p-adic local Langl ands correspondence\, a geometric perspective is more speculative. In thes e talks we will outline the construction of a fully faithful contravariant embedding of the category of p-adic locally admissible representations of GL(2\,Qp) into a suitable category of coherent sheaves on the moduli stac k of 2-dimensional p-adic representations of Gal(Qp-bar/Qp)\, constructed by Wang-Erickson. We will also discuss analogous statements for SL(2\,Qp)\ , highlighting the role of endoscopy.\n\n\nThis is joint work between Chri stian Johansson\, James Newton and Carl Wang-Erickson.\n LOCATION:https://researchseminars.org/talk/RAMpAGe/68/ END:VEVENT END:VCALENDAR