Back to Commutative Algebra Seminar: Spring 2025
Commutative Algebra Seminar
Date: Friday, Mar 28, 2025
Time: 2:00PM - 3:00PM
Location: LCB 222
3pm
Julia Pevtsova
University of Washington
Title |
Fiber functors in Tensor triangular geometry |
Abstract |
TT geometry associates a geometric invariant - the Spectrum - to a tensor triangulated category. This invariant carries a lot of global structure information about the category; but the calculations are usually difficult. I’ll describe “the fiber functor” technique which proved to be successful for calculating the spectrum in various settings. Motivations, as often happens, comes from commutative algebra, and examples include finite group schemes, Lie superalgebras, quantum groups, and even old fashioned modular representation theory of finite groups. If time allows, I’ll also mention one recently constructed family of tensor triangulated categories where the fiber functor technique is destined to fail basically by definition. |
Commutative Algebra