Back to Commutative Algebra Seminar: Fall 2016
Commutative Algebra Seminar
Date: Friday, Aug 26, 2016
Time: 3:10PM - 4:00PM
Location: LCB 215
Billy Sanders
Norwegian University of Science and Technology
Title |
A pointless approach to supports in categories |
Abstract |
In this talk, we will discuss the following question: when are the thick subcategories of the bounded derived category of a commutative ring parameterizable by the specialization closed subsets of a Noetherian scheme. To do this, we will use pointless topology to construct a space and a notion of support for any triangulated category whose thick subcategories form a set. The same construction can also be used to develop support theories which classify certain subcategories in other contexts, such as Serre subcategories of an Abelian category, or resolving subcategories of a exact category with enough projectives. |
Commutative Algebra