BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Andrea Dotto (Chicago) DTSTART:20210422T150000Z DTEND:20210422T162000Z DTSTAMP:20260423T021307Z UID:RAMpAGe/42 DESCRIPTION:Title: Mod p Bernstein centres of p-adic groups\nby Andrea Dotto (Chicago) a s part of Recent Advances in Modern p-Adic Geometry (RAMpAGe)\n\n\nAbstrac t\nThe centre of the category of smooth mod p representations of a p-adic reductive group does not distinguish the blocks of finite length represent ations\, in contrast with Bernstein's theory in characteristic zero. Motiv ated by this observation and the known connections between the Bernstein c entre and the local Langlands correspondence in families\, we consider the case of GL_2(Q_p) and we prove that its category of representations exten ds to a stack on the Zariski site of a simple geometric object: a chain X of projective lines\, whose points are in bijection with Paskunas's blocks . Taking the centre over each open subset we obtain a sheaf of rings on X\ , and we expect the resulting space to be closely related to the Emerton-- Gee stack for 2-dimensional representations of the absolute Galois group o f Q_p. Joint work in progress with Matthew Emerton and Toby Gee.\n LOCATION:https://researchseminars.org/talk/RAMpAGe/42/ END:VEVENT END:VCALENDAR