BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:David Jordan (University of Edingburgh) DTSTART:20201014T200000Z DTEND:20201014T210000Z DTSTAMP:20260414T173658Z UID:BUGeom/6 DESCRIPTION:Title: C luster quantization of character stacks as a singular topological field th eory\nby David Jordan (University of Edingburgh) as part of Boston Uni versity Geometry/Physics Seminar\n\n\nAbstract\nCharacter stacks are certa in moduli spaces of G-local systems on a manifold\, which arise naturally in both 4d N=4 Kapustin-Witten and 3d N=4 Sicilian gauge theories. Their quantizations relate to deforming the coupling parameter\, and introducing omega-deformation\, respectively. Fock and Goncharov have introduced a m odification of character varieties\, in which the G-local systems are deco rated with parabolic reductions along fixed regions of the surface\, and o n these decorated character varieties they have exhibited cluster structur es. This means\, there is a family of open subsets\, indexed combinatoria lly\, on which the stack is actually an algebraic torus. The transitions between charts are given by certain explicit birational transformations ca lled mutations. Finally\, they have defined a quantization of this structu re\, which has a number of remarkable properties.\n\nIn this talk I will e xplain how to upgrade their construction to a fully extended topological f ield theory using the framework of stratified factorization homology devel oped by Ayala-Francis-Tanaka.\n LOCATION:https://researchseminars.org/talk/BUGeom/6/ END:VEVENT END:VCALENDAR