Commutative algebra seminar

3.30 pm on Tuesday, 18 October 2022

Venue: Ramanujan Hall

Speaker: H. Ananthnarayan

Title: Boij-Soderberg Theory and multiplicity conjecture-III

Abstract: 
In an article published in 2008, Boij and Soderberg introduced the notion of a cone related to the graded Betti numbers of a graded
module over the polynomial ring over a field, and stated a couple of conjectures related to the extremal rays of this cone. They also showed
that a positive answer to these conjectures resolves the Multiplicity conjecture. Eisenbud-Schreyer (2009) show that the Boij-Soderberg
conjectures are true.

In these talks, we will introduce the multiplicity conjectures, indicate their connection to the Boij-Soderberg conjectures, and give an idea of 
how Eisenbud-Schreyer resolve the latter conjectures. We explore similar results over other standard graded rings.