GT seminar with David Kern

Abstract: Algebraic (derived) stacks are generalised spaces that can be presented
as quotients of geometric groupoids. Similarly, shifted symplectic
stacks admit atlases given by symplectic groupoids. In this talk, based
on joint work in progress with Damien Calaque, we describe such an atlas
for shifted cotangent bundles.

It is obtained through a careful study of the structure of groupoid
objects as certain Calabi–Yau algebras in spans, and functoriality of
the cotangent stack construction producing Lagrangian correspondences
from spans.

This is a seminar in our Geometry and Topology seminar series.