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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

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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.

 

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