Graduate Student Homotopy Theory Seminar: Formalism of six operations and derived algebraic stacks
- Event Type
- Seminar/Symposium
- Sponsor
- n/a
- Location
- 341 Altgeld Hall
- Date
- Feb 18, 2022 3:00 pm
- Speaker
- Timmy Feng
- Contact
- Doron Grossman-Naples
- doronlg2@illinois.edu
- Views
- 19
The formalism of six operations was originally introduced by A.Grothendieck and his collaborators in the study of \'etale cohomology. It naturally leads to many well-known results in cohomology theory like duality and Lefschetz trace formula. This partially justifies the slogan that the formalism of six operations are enhanced cohomology theories. In this talk, I will introduce the formalism of six operations. I will explain the relation between it and some cohomology theories (Topological, coherent, l-adic). Moreover, I will talk about the application of it to a nice class of derived algebraic stacks. And show that this leads to some nontrivial results of algebraic (homotopy) K-theory for stacks.