Back to Commutative Algebra Seminar: Fall 2014
Commutative Algebra Seminar
Date: Friday, Nov 7, 2014
Time: 3:10PM - 4:00PM
Location: LCB 323
Jonathan Kujawa
University of Oklahoma
Title |
Tensor triangular geometry for Lie superalgebras |
Abstract |
Balmer has shown us how to define a topological space (known as the spectrum) for any tensor triangulated category. The definition is very much in the spirit of the spectrum of a commutative ring and, indeed, you can recover the spectrum of a commutative ring using Balmer’s setup. More generally, Balmer’s spectrum allows us to bring geometry into various new settings, including many of importance in representation theory. However, the power and generality of Balmer’s setup is offset by the challenge of providing an explicit description in any given setting. In our work we show that Balmer’s spectrum has a remarkably down-to-earth description when applied to the representation theory of complex Lie superalgebras. In this talk we will give an overview of this work while keeping it accessible to a general mathematical audience. This work is joint with Brian Boe and Daniel Nakano. |
Commutative Algebra