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.

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.

Description

Room No. 215, Department of Mathematics

Date

Tue, February 6, 2018

Start Time

11:45am-1:00pm IST

Duration

1 hour 15 minutes

Priority

5-Medium

Access

Public

Created by

DEFAULT ADMINISTRATOR

Updated

Sun, February 4, 2018 2:56pm IST