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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20260819T153000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20260819T170000
URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work
 ing-seminar-danial-ghamari-higher
SUMMARY:Differential Geometry Working Seminar | Danial Ghamari | Higher Gau
 ge\nTheory
CLASS:PUBLIC
DESCRIPTION:DANIAL GHAMARI (UNIVERSITY OF WATERLOO) \n\n_Higher Gauge Theor
 y_ \n\nOrdinary gauge theory describes the parallel transport of point\npa
 rticles along paths using connections on principal bundles. Higher\ngauge 
 theory extends this framework to objects such as strings\, whose\nmotion s
 weeps out surfaces. This extension requires a corresponding\ncategorificat
 ion. \nAs long as time permits\, we will go through Baez and Schreiber (20
 06)\,\nHigher Gauge Theory\, and develop the main ideas presented there. I
 n\nparticular\, we will explain how Lie groups\, bundles\, and connections
 \nare replaced by Lie 2-groups\, principal 2-bundles\, and 2-connections.\
 nWe will motivate this structure through surface holonomy and the\nobstruc
 tion to describing nonabelian surface transport using ordinary\ngroups. We
  will then outline the construction of path and surface\nholonomy as a 2-f
 unctor\, the local description of a 2-connection by\ndifferential forms (A
 ) and (B)\, and its relation to nonabelian gerbes.\nTime permitting\, we w
 ill discuss why parametrization-independent\nsurface transport requires th
 e vanishing of the fake curvature.   \nIn the likely case that we do not
  manage to cover the entire paper\, we\nwill have follow-up talks in which
  we continue developing the theory. \nMC 5417     
DTSTAMP:20260817T165258Z
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