SEMINARIO DI GEOMETRIA

*Mercoledì 26 febbraio 2020*

ore 15:00

*Scuola Normale Superiore*

Pisa

Aula Dini

* Dhyan Aranha* *(**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