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DTSTART:20250309T070000
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DTSTART;TZID=America/Toronto:20251010T153000
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URL:https://uwaterloo.ca/pure-mathematics/events/geometry-and-topology-semi
 nar-38
SUMMARY:Geometry and Topology Seminar
CLASS:PUBLIC
DESCRIPTION:CASEY BLACKER\, AUGUSTA UNIVERSITY\n\n_Geometric and algebraic 
 reduction of multisymplectic manifolds_\n\nA symplectic Hamiltonian manifo
 ld consists of a Lie group action on a\nsymplectic manifold together with 
 an associated moment map. In special\ncases\, the moment map distinguishes
  a smooth submanifold to which the\nLie group action restricts\, and the q
 uotient inherits the structure of\na symplectic manifold. In every case\, 
 it is possible to construct a\nreduced Poisson algebra that plays the role
  of the space of smooth\nfunctions on the reduced space.\n\nIn this talk\,
  we will discuss an adaptation of these ideas to the\nmultisymplectic sett
 ing. Specifically\, we will exhibit a geometric\nreduction scheme for mult
 isymplectic manifolds in the presence of a\nHamiltonian action\, an algebr
 aic reduction procedure for the\nassociated L-infinity algebras of classic
 al observables\, and a\ncomparison of these two constructions. This is joi
 nt work with Antonio\nMiti and Leonid Ryvkin.\n\nMC 5417
DTSTAMP:20260502T042127Z
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