BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Emily Cliff (Université de Sherbrooke) DTSTART:20220503T140000Z DTEND:20220503T150000Z DTSTAMP:20260423T024559Z UID:TRAC/43 DESCRIPTION:Title: Mo duli spaces of principal 2-group bundles and a categorification of the Fre ed-Quinn line bundle\nby Emily Cliff (Université de Sherbrooke) as pa rt of The TRAC Seminar - Théorie de Représentations et ses Applications et Connections\n\n\nAbstract\nA 2-group is a higher categorical analogue o f a group\, while a smooth 2-group is a higher categorical analogue of a L ie group. An important example is the string 2-group in the sense of Schom mer-Pries. We study the notion of principal bundles for smooth 2-groups\, and investigate the moduli "space" of such objects. In particular\, in the case of flat principal bundles for a finite 2-group over a Riemann surfac e\, we prove that the moduli space gives a categorification of the Freed-- Quinn line bundle. This line bundle has as its global sections the state s pace of Chern-Simons theory for the underlying finite group. We can also u se our results to better understand the notion of geometric string structu res (as previously studied by Waldorf and Stolz-Teichner).\n\nThe talk wil l not assume background knowledge on 2-groups or Chern-Simons theory. It i s based on joint work with Dan Berwick-Evans\, Laura Murray\, Apurva Nakad e\, and Emma Phillips.\n LOCATION:https://researchseminars.org/talk/TRAC/43/ END:VEVENT END:VCALENDAR