26 feb 2020 -- 15:00
Aula Dini, SNS, Pisa
Abstract.
In this talk we will report on joint work with Piotr Pstragwoski where we extended the construction of the normal cone of a closed embedding of schemes to any locally of finite type morphism of higher Artin stacks and show that in the Deligne-Mumford case our construction recovers the relative intrinsic normal cone of Behrend and Fantechi. We will explain a characterization of our extension as the unique one satisfying a short list of axioms. As an application of our methods, we associate to any morphism of Artin stacks equipped with a choice of a global perfect obstruction theory a relative virtual fundamental class in the Chow group of Kresch.