BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Dima Arinkin (UWisconsin-Madison) DTSTART:20200914T200000Z DTEND:20200914T210000Z DTSTAMP:20260423T004513Z UID:UMassRep/3 DESCRIPTION:Title: Singular support of categories\nby Dima Arinkin (UWisconsin-Madison) as part of UMass Amherst Representation theory seminar\n\n\nAbstract\nIn m any situations\, geometric objects on a space have some kind of singular s upport\, which refines the usual support.\nFor instance\, for smooth X\, t he singular support of a D-module (or a perverse sheaf) on X is as a conic al subset\nof the cotangent bundle\; there is also a version of this notio n for coherent sheaves on local complete intersections.\nI would like to d escribe a higher categorical version of this notion.\n\nLet X be a smooth variety\, and let Z be a closed conical isotropic subset of the cotangent bundle of X. I will define a\n2-category associated with Z\; its objects m ay be viewed as `categories over X with singular support in Z'. In particu lar\, if Z is\nthe zero section\, this gives the notion of categories over Z in the usual sense.\n\nThe project is motivated by the local geometric Langlands correspondence\; time permitting\,\nI hope to sketch the relatio n with the Langlands correspondence at the end of the talk.\n LOCATION:https://researchseminars.org/talk/UMassRep/3/ END:VEVENT END:VCALENDAR