Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Multisymplectic manifolds, homotopy moment maps, and conserved quantities

Marco Zambon

created by risa on 16 Jan 2015

21 jan 2015 -- 14:30

Aula di Consiglio, Dip. Matematica, Università "La Sapienza", Roma


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).

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