**Tony Pantev**

University of Pennsylvania, USA

May 9, 2014

**Constructions in shifted symplectic geometry**:
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.