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DTSTART:20250309T070000
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DTSTART:20241103T060000
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DTSTART;TZID=America/Toronto:20250619T130000
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URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work
 ing-seminar-147
SUMMARY:Differential Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:JUSTIN FUS\, UNIVERSITY OF WATERLOO\n\n_The Geometry of the Bas
 ed Loop Group and Moment Maps_\n\nGiven a compact Lie group\, we will expl
 ore a symplectic structure on\nthe infinite-dimensional based loop group c
 onsisting of smooth maps\nfrom the circle to the Lie group with the identi
 ty as a basepoint. The\nmaximal torus of the Lie group and the circle grou
 p together generate\na Hamiltonian torus action on the loop group. Results
  on connectedness\nof level sets and convexity of the moment map\, which a
 re attempts to\ngeneralize those for finite-dimensional compact symplectic
  manifolds\,\nwill be previewed.\n\nMC 5403
DTSTAMP:20260416T113939Z
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