Date & Time: 1st & 3rd November, 2011, 16:00-17:00.
Venue: Ramanujan Hall
Title:Boij-Soederberg Theory for Free Resolutions.
Speaker:Prof. Manoj Kummini, Chennai Mathematical Institute
Abstract:M. Boij and J.Soederberg conjectured that the Betti tables of finitely generated graded Cohen-Macaulay modules over polynomial rings are positiverational combinations of the the Betti tables of finitely generated graded Cohen-Macaulay modules with pure resolution. They also conjectured that Cohen-Macaulay modules with pure resolution exist. This was proved by D. Eisenbud, G. Floystad, J. Weyman and F.-O. Schreyer. We will look at these conjectures and their proofs, and recent extensions to arbitrary regular local rings and hypersurface rings.