Г.Ю. Панина, семинар "Геометрия и комбинаторика"

ВНИМАНИЕ!!! НЕОБЫЧНОЕ ВРЕМЯ!!! 9 ноября, 19-00 Casey Blecker, Reduction of multisymplectic manifolds Abstract: A multisymplectic manifold is a smooth manifold that is equipped with a closed and nondegenerate differential form of arbitrary degree. In this talk, we first review the Marsden-Weinstein-Meyer symplectic reduction theorem, and then show how this result extends to multisymplectic manifolds. We also present a multisymplectic extension of the Duistermaat-Heckman theorem, which characterizes the dependence of the reduced space on the choice of reduction parameter.