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Home » Fellowship of the Ring, National Seminar: On the size and shape of Betti numbers

Seminar

Fellowship of the Ring, National Seminar: On the size and shape of Betti numbers April 15, 2021 (01:30 PM PDT - 03:00 PM PDT)
Parent Program: --
Location: MSRI: Online/Virtual
Speaker(s) Adam Boocher (University of California, San Diego)
Description

To attend this seminar, you must register in advance, by clicking HERE.

Video

On the Size and Shape of Betti Numbers

Abstract/Media

To attend this seminar, you must register in advance, by clicking HERE.



 

Abstract:

Given a finitely-generated graded module over a polynomial ring, there are many results and conjectures concerning lower bounds for its betti numbers. Major players in this story include the Syzygy Theorem, the Buchsbaum-Eisenbud-Horrocks Rank Conjecture, and the Total Rank Conjecture.  In this talk I'll survey these results and conjectures including a collection of intricately connected recent results that point to even stronger bounds.

 

Asset no preview Notes 10.1 MB application/pdf

On the Size and Shape of Betti Numbers