BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Emily Cliff (University of Sherbrooke) DTSTART:20220202T170000Z DTEND:20220202T180000Z DTSTAMP:20260423T021329Z UID:TQFT/50 DESCRIPTION:Title: Mo duli spaces of principal 2-group bundles and a categorification of the Fre ed–Quinn line bundle\nby Emily Cliff (University of Sherbrooke) as p art of Topological Quantum Field Theory Club (IST\, Lisbon)\n\n\nAbstract\ nA 2-group is a higher categorical analogue of a group\, while a smooth 2- group is a higher categorical analogue of a Lie group. An important exampl e is the string 2-group in the sense of Schommer-Pries. We study the notio n of principal bundles for smooth 2-groups\, and investigate the moduli "s pace" of such objects.\n\nIn particular in the case of flat principal bund les for a finite 2-group over a Riemann surface\, we prove that the moduli space gives a categorification of the Freed–Quinn line bundle. This lin e bundle has as its global sections the state space of Chern–Simons theo ry for the underlying finite group. We can also use our results to better understand the notion of geometric string structures (as previously studie d by Waldorf and Stolz–Teichner).\n\n\nThis is based on joint work with Dan Berwick-Evans\, Laura Murray\, Apurva Nakade\, and Emma Phillips.\n LOCATION:https://researchseminars.org/talk/TQFT/50/ END:VEVENT END:VCALENDAR