Dirac reduction and shifted symplectic geometry

8 Feb 2022, 17:00
50m

Speaker

Maxence Mayrand

Description

We introduce a notion of reduction of Dirac realizations induced by a submanifold of the base and give an interpretation in shifted symplectic geometry. It yields, in particular, to a notion of symplectic (resp. quasi-Hamiltonian) reduction where the level can be a submanifold of the dual of the Lie algebra (resp. the group) rather than a point, and explains some disparate constructions in symplectic geometry. This is joint work with Ana Balibanu and Peter Crooks.

Presentation materials

There are no materials yet.