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SUMMARY:Emily Cliff (University of Sherbrooke)
DTSTART:20211201T210000Z
DTEND:20211201T220000Z
DTSTAMP:20260414T173334Z
UID:BUGeom/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BUGeom/33/">
 Moduli spaces of principal 2-group bundles and a categorification of the F
 reed--Quinn line bundle</a>\nby Emily Cliff (University of Sherbrooke) as 
 part of Boston University Geometry/Physics Seminar\n\nLecture held in Zoom
  meeting ID: 953 4652 9200.\n\nAbstract\nA 2-group is a higher categorical
  analogue of a group\, while a smooth 2-group is a higher categorical anal
 ogue of a Lie group. An important example is the string 2-group\, defined 
 by Schommer-Pries. We study the notion of principal bundles for smooth 2-g
 roups\, and investigate the moduli "space" of such objects. \n\n\n\nIn par
 ticular in the case of flat principal bundles 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 line bundle has as its global sectio
 ns the state space of Chern--Simons theory for the underlying finite group
 . We can also use our results to better understand the notion of geometric
  string structures (as previously studied by Waldorf and Stolz--Teichner).
 \n
LOCATION:https://researchseminars.org/talk/BUGeom/33/
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