## Geometry and Physics Seminar: Angelo Vistoli

• Date: 04/27/2015
• Time: 15:30
Lecturer(s):
Angelo Vistoli, Scuola Normale Superiore
Location:

University of British Columbia

Topic:

Cohomological invariants of algebraic stacks (after Robert Pirisi)

Description:

Galois cohomological invariants for algebraic groups are an arithmetic analogue of characteristic classes in algebraic topology; Totaro and Guillot connected them to unramified étale cohomology and Rost’s higher Chow Groups.

In his PhD thesis, Roberto Pirisi generalizes the theory of Galois cohomological invariants to smooth Artin stacks of finite type over a field, and computes the cohomological invariants for stacks of hyperelliptic curves of even genus. Furthermore he defines Rost’s higher Chow groups for Artin stacks.

Other Information:

Location: ESB 2012