Title: Specialization closed subsets, thick subcategories and Cohen-Macaulay rings
Speaker: Sarang Sane (IIT, Chennai)
Date: 23 March 2018
Time: 3 pm
Venue: LH-1, Mathematics Department
In a topological space, a point x is said to be a specialization of another point y
if x is in the closure of y. Specialization closed subsets occur naturally when
considering the notion of support in the Zariski topology in algebra/algebraic geometry.
We will define them and show their classical use in classifying certain subcategories.
This will allow us to give a characterization of Cohen-Macaulay local rings. Time
permitting, we will also discuss some reductions of K-theoretic invariants (of
derived categories with support).