Description |
I will introduce a version of algebraic symplectic geometry that is suitable for dealing with singular or stacky spaces. I will explain how this generalization arises naturally in the study of moduli spaces and will outline the connections to ordinary symplectic geometry. I will also give interesting examples and will describe a several non-trivial constructions of shifted symplectic structures. This is a joint work with Toen, Vaquie, and Vezzosi. |