(SISSA)

Terrà un seminario dal titolo:

“The Intrinsic Normal Cone For Artin Stacks”

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.

Tutti gli interessati sono invitati a partecipare.

Classe di Scienze

Valeria Giuliani

Scuola Normale Superiore

Servizio alla Didattica e Allievi

tel. 050 509260

Piazza dei Cavalieri, 7

56126 Pisa

E-mail: valeria.giuliani@sns.it

E-mail: classi@sns.it