Talk by Dr. Albin Grataloup (University of Montpellier, FR)

01/25/2021  11:00am-12:00pm  Zoom Meeting

Abstract:  There have been many instances of shifted structures, for example the BV-BFV complexes, higher connections or quasi-symplectic groupoids. The goal of this talk is to explain the general theory of shifted symplectic structures from the point of view of derived geometry. Derived geometry in an extension of geometry that aims at handling singular situations as if they were generic by doing everything "up to homotopy". We will see that this added flexibility gives us a well behaved shifted symplectic geometry and we will in particular describe the shifted symplectic geometry of derived intersections.