BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:David Jordan (University of Edinburgh\, UK) DTSTART:20211101T150000Z DTEND:20211101T160000Z DTSTAMP:20260422T181009Z UID:QGS/40 DESCRIPTION:Title: Clu ster quantization from factorization homology\nby David Jordan (Univer sity of Edinburgh\, UK) as part of Quantum Groups Seminar [QGS]\n\n\nAbstr act\nThe character variety of a manifold is its moduli space of flat G-bun dles. These moduli spaces and their quantizations appear in a number of pl aces in mathematics\, representation theory\, and quantum field theory. Fa mously\, Fock and Goncharov showed that a certain "decorated" variant of c haracter varieties carries the structure of a cluster variety -- that is\, the moduli space contains a distinguished set of toric charts\, with comb inatorially defined transitions functions (called mutations). This led the m to a now-famous quantization of their decorated character varieties.\n\n In this talk I'll explain that the by-hands construction of these charts b y Fock and Goncharov can in fact be extracted from a more general framewor k called stratified factorization homology\, and I'll outline how this all ows us to extend the Fock-Goncharov story from surfaces to 3-manifolds.\n LOCATION:https://researchseminars.org/talk/QGS/40/ END:VEVENT END:VCALENDAR