Description
Commutative Algebra Seminar
Speaker: Rajiv Garg
Date & Time: 6th February, 11:45am-13:00pm
Venue: Room 215
Title: Boij-S\ddot{\text{o}}derberg Theory over Standard Graded Rings
Abstract: In 2009, Eisenbud and Schreyer prove that extremal rays of Betti
cone over
a polynomial ring are spanned by Betti diagrams of pure Cohen-Macaulay
S-modules,
where S={\sf k}[X_1,\dots, X_n]. In this talk, we discuss
Boij-S\ddot{\text{o}}derberg theory for standard
graded {\sf k}-algebras. We note the obstacles in using their techniques in
the general situation
and identify classes of rings where we can prove some of these results.