21 jan 2015 -- 14:30
Aula di Consiglio, Dip. Matematica, Università "La Sapienza", Roma
Abstract.
Multisymplectic structures are higher generalizations of symplectic structures, where forms of higher degree are considered. We introduce a notion of moment map for such structures, based on Stasheff's notion of L-infinity algebra, and by relating it to equivariant cohomology we are able to produce examples. Even though moment maps are quite involved, they admit a simple cohomological description. Finally, we discuss some geometric implications of our moment maps (the existence of conserved quantities).