Seminar
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| Location: | SLMath: Online/Virtual |
To attend this seminar, you must register in advance, by clicking HERE.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
On the Size and Shape of Betti Numbers
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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Notes
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