BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Matt Hogancamp (Northeastern) DTSTART:20230330T185000Z DTEND:20230330T195000Z DTSTAMP:20260423T005748Z UID:GPRTatNU/74 DESCRIPTION:Title: The nilpotent cone for sl2 and annular link homology\nby Matt Hoganc amp (Northeastern) as part of Geometry\, Physics\, and Representation Theo ry Seminar\n\n\nAbstract\nIn this talk I will discuss an equivalence of ca tegories relating SL(2)-equivariant vector bundles on the nilpotent cone f or sl(2) and the annular Bar-Natan category (this latter category appears in the context of Khovanov homology for links in a thickened annulus). In deed\, both categories admit a diagrammatic description in terms of the sa me "dotted" Temperley-Lieb diagrammatics\, as I will explain. Under this equivalence\, Bezrukavnikov's quasi-exceptional collection on the nilcone (in the SL2 case) has an elegant description in terms of some special annu lar links. In recent joint work with Dave Rose and Paul Wedrich\, we cons tructed a very special Ind-object in the annular Bar-Natan category which is a categorical analogue of a "Kirby element" from quantum topology\; I w ill conclude by sketching a neat "BGG resolution" afforded by our categor ified Kirby element. This is based on joint work with Rose and Wedrich.\n LOCATION:https://researchseminars.org/talk/GPRTatNU/74/ END:VEVENT END:VCALENDAR