BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Harrison Chen (Cornell University) DTSTART:20201110T213000Z DTEND:20201110T223000Z DTSTAMP:20260423T021131Z UID:MITLie/15 DESCRIPTION:Title: Coherent Springer theory and categorical Deligne-Langlands\nby Harriso n Chen (Cornell University) as part of MIT Lie groups seminar\n\nLecture h eld in 2-142.\n\nAbstract\nKazhdan and Lusztig proved the Deligne-Langland s conjecture\, a bijection between irreducible representations of unipoten t principal block representations of a p-adic group with certain unipotent Langlands parameters in the Langlands dual group (plus the data of certai n representations).  We lift this bijection to a statement on the level o f categories.  Namely\, we define a stack of unipotent Langlands paramete rs and a coherent sheaf on it\, which we call the coherent Springer sheaf\ , which generates a subcategory of the derived category equivalent to modu les for the affine Hecke algebra (or specializing at q\, unipotent princip al block representations of a p-adic group).  Our approach involves categ orical traces\, Hochschild homology\, and Bezrukavnikov's Langlands dual r ealizations of the affine Hecke category.  This is a joint work with Davi d Ben-Zvi\, David Helm and David Nadler.\n LOCATION:https://researchseminars.org/talk/MITLie/15/ END:VEVENT END:VCALENDAR