Derived Algebraic Geometry Seminar: Shifted symplectic structures in derived algebraic geometry

Seminar | February 23 | 1-2 p.m. | 891 Evans Hall

 Alex Takeda, UC Berkeley

 Department of Mathematics

The derived perspective in algebraic geometry allows us to define the notion of shifted symplectic structures, a generalization of symplectic structures to derived stacks. In this talk I will review the definitions and some theorems by Pantev, Toën, Vaquié and Vezzosi, and then proceed to examples. Most of the talk will be devoted to classes of examples of spaces carrying canonical shifted symplectic structures such as the derived critical locus, classifying spaces etc.