BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ángel González Prieto (Universidad Complutense de Madrid) DTSTART:20220413T160000Z DTEND:20220413T170000Z DTSTAMP:20260423T021423Z UID:TQFT/56 DESCRIPTION:Title: To pological Quantum Field Theories for Character Stacks\nby Ángel Gonz ález Prieto (Universidad Complutense de Madrid) as part of Topological Qu antum Field Theory Club (IST\, Lisbon)\n\nLecture held in Room 3.10 (3rd f loor\, Mathematics Department\, Instituto Superior Técnico).\n\nAbstract\ nModuli spaces of representations of surface groups (aka character varieti es) are very interesting spaces due to their tight relation with moduli sp aces of Higgs bundles and flat connections. Nowadays\, several approaches are available in the literature to understand the geometry of these charac ter varieties constructed via geometric invariant theory quotients. Despit e these advances\, the geometry of character stacks\, where roughly speaki ng the group action is not quotiented but still tracked\, remains a myster y.\n\nTo address this problem\, in this talk we shall construct a lax mono idal topological quantum field theory that computes the virtual classes of G-representation stacks in the Grothendieck ring of BG-stacks. This tool gives rise to an effective computational method for these virtual classes based on topological recursion on the genus of the surface. Time permittin g\, we will also discuss how this construction provides evidence that lax monoidal TQFTs represent a new hope in the quantization of algebraic invar iants.\n\nJoint work with M. Hablicsek and J. Vogel.\n LOCATION:https://researchseminars.org/talk/TQFT/56/ END:VEVENT END:VCALENDAR