Title: Homotopy moment maps
2013.12.05 |
Date | Wed 22 Jan |
Time | 15:15 — 16:15 |
Location | Aud. D3 |
Abstract
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.