Commutative algebra seminar

Tuesdays from 3.30 pm-4.45 pm

Venue: Ramanujan Hall

Speaker: H. Ananthnarayan

Title: Boij-Soderberg Conjectures and the Multiplicity Conjecture

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.

 Prof. Nitin Nitsure will give the second talk of his lecture series on
'Algebraic Stacks and Moduli Theory' tomorrow (4th Oct) at 5:00 pm. The
talk will be in Ramanujan Hall and of 75 minutes duration.