BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Marco Mackaay (University of Algarve) DTSTART:20230125T170000Z DTEND:20230125T180000Z DTSTAMP:20260423T021410Z UID:TQFT/73 DESCRIPTION:Title: 2- Representations of affine type A Soergel bimodules: some observations and examples\nby Marco Mackaay (University of Algarve) as part of Topologi cal Quantum Field Theory Club (IST\, Lisbon)\n\nLecture held in Room 3.10 (3rd floor\, Mathematics Department\, Instituto Superior Técnico).\n\nAbs tract\nIn 2010\, Mazorchuk and Miemietz laid the foundations of a systemat ic theory of finitary 2-representations of finitary 2-categories\, which a re the categorical analog of finite-dimensional representations of finite- dimensional algebras. In the last couple of years\, this theory has been m uch further developed and has led to interesting classification results fo r e.g. certain finitary 2-representations of Soergel bimodules of finite C oxeter type\, which form an important class of examples.\n\nTogether with Miemietz and Vaz\, I've recently started to look at 2-representations of S oergel bimodules of affine type A\, which form a 2-category that is no lon ger finitary but only locally wide finitary\, a generalization which was i ntroduced and studied by Marpherson. This has major consequences for their 2-representations\, e.g. they now come in 3 different flavors: finitary\, wide finitary and triangulated.\n\nIn my talk\, I will first very briefly review finitary 2-representation theory of finitary 2-categories and reca ll the example of Soergel bimodules of finite Coxeter type. After that\, I will zoom in on Soergel bimodules of affine type A and their three types of 2-representations. I will try to sketch some general features\, but the talk will nevertheless be very example-based\, since our research is stil l in its early stages.\n LOCATION:https://researchseminars.org/talk/TQFT/73/ END:VEVENT END:VCALENDAR