Colloquium abstracts

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.