Description
Commutative algebra:
Date, Time, Venue: Friday, 19th Apr, 2:30 - 3:30 p.m.,Commutative algebra Room 113.
Title: Pure modules and Cohen-Macaulay rings
Abstract: This is a talk in Boij-Soderberg theory, which involves the
study of Betti cones over quotients of polynomial rings. These were
introduced by Boij-Soderberg in 2008, and explored further by
Eisenbud-Schreyer in 2009. I will give a quick introduction to this theory
and the main problems.
Finally, I will point out how of a result of mine (joint with Rajiv
Kumar) on the construction of pure modules over Cohen-Macaulay rings
follows immediately from the work of Eisenbud-Schreyer using Noether
Normalization, and the Auslander-Buchsbaum Formula (which are two
important results the students proved in the reading course).
I will try to make the talk as self-contained as possible. All are welcome.