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Homotopy moment maps

Marco Zambon
(Universidad Autonoma de Madrid)
Seminar
Onsdag, 22 januar, 2014, at 15:15-16:15, in Aud. D3 (1531-215)
Abstrakt:

Multisymplectic structures are higher generalizations of symplectic structures, where forms of higher degree are considered.

The algebraic counterpart of a multisymplectic structure is an L-infinity algebra. We introduce a notion of moment map for such structures, and by relating it to equivariant cohomology we are able to produce many examples. One example is the space of connections on a principal bundle, whose base is allowed to have arbitrary dimension.

This is joint work with Yael Fregier, Chris Rogers and Camille Laurent-Gengoux.

Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen