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URL:/pure-mathematics/events/differential-geometry-work
 ing-seminar-147
SUMMARY:Differential Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:Summary \n\nJUSTIN FUS\, UNIVERSITY OF WATERLOO\n\n_The Geometr
 y of the Based Loop Group and Moment Maps_\n\nGiven a compact Lie group\, 
 we will explore a symplectic structure on\nthe infinite-dimensional based 
 loop group consisting of smooth maps\nfrom the circle to the Lie group wit
 h the identity as a basepoint. The\nmaximal torus of the Lie group and the
  circle group together generate\na Hamiltonian torus action on the loop gr
 oup. Results on connectedness\nof level sets and convexity of the moment m
 ap\, which are attempts to\ngeneralize those for finite-dimensional compac
 t symplectic manifolds\,\nwill be previewed.\n\nMC 5403\n 
DTSTAMP:20250710T231020Z
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