BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Carl Wang-Erickson (University of Pittsburgh) DTSTART:20220525T160000Z DTEND:20220525T172000Z DTSTAMP:20260423T035748Z UID:RAMpAGe/71 DESCRIPTION:Title: Signs of a p-adic geometric Langlands correspondence: part II\nby Car l Wang-Erickson (University of Pittsburgh) as part of Recent Advances in M odern p-Adic Geometry (RAMpAGe)\n\n\nAbstract\nRecent developments in the geometrization of local Langlands correspondence suggests\, among other th ings\, that the category of smooth complex representations of a $p$-adic g roup can be embedded fully faithfully into a category of ind-coherent shea ves on a moduli space of Weil-Deligne representations. For the $p$-adic lo cal Langlands correspondence\, a geometric perspective is more speculative . In these talks we will outline the construction of a fully faithful cont ravariant embedding of the category of $p$-adic locally admissible represe ntations of $\\mathrm{GL}(2\,\\mathbb{Q}_p)$ into a suitable category of c oherent sheaves on the moduli stack of 2-dimensional $p$-adic representati ons of $\\mathrm{Gal}(\\overline{\\mathbb{Q}_p}/\\mathbb{Q}_p)$. In this s econd talk in particular\, we will emphasize the explicit and computable n ature of the moduli stack of Galois representations and certain sheaves on it.\n\nAttendance at the prior talk in this series will not be presumed.\ n\nThis is joint work between Christian Johansson\, James Newton and Carl Wang-Erickson.\n LOCATION:https://researchseminars.org/talk/RAMpAGe/71/ END:VEVENT END:VCALENDAR