Seminarium Gamma
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Leonid Ryvkin (University Claude Bernard Lyon I)
Reduction of multisymplectic observables
We develop a reduction scheme for the Lie-infinity-algebra of observables on a pre-multisymplectic manifold M in the presence of a compatible Lie algebra action on M and subset of the manifold M. This reduction relates to the geometric multisymplectic reduction recently proposed by Casey Blacker. In particular, when M is a symplectic manifold and the level set of a momentum our approach generalizes Marsden-Weinstein reduction, and has interesting relations to further symplectic reduction schemes. Based on joint work with Casey Blacker and Antonio Miti. To connect, use the link https://uw-edu-pl.zoom.us/j/94548599338?pwd=K1NWTkI3czdqZGNNalZMdWJNNHh1UT09#success