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SUMMARY:Adam Boocher (University of San Diego)
DTSTART:20210415T203000Z
DTEND:20210415T220000Z
DTSTAMP:20260423T021437Z
UID:FOTR/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FOTR/46/">On
  the size and shape of betti numbers</a>\nby Adam Boocher (University of S
 an Diego) as part of Fellowship of the Ring\n\n\nAbstract\nGiven a finitel
 y-generated graded module over a polynomial ring\, there are many results 
 and conjectures concerning lower bounds for its betti numbers. Major playe
 rs in this story include the Syzygy Theorem\, the Buchsbaum-Eisenbud-Horro
 cks Rank Conjecture\, and the Total Rank Conjecture.  In this talk I'll su
 rvey these results and conjectures including a collection of intricately c
 onnected recent results that point to even stronger bounds.\n
LOCATION:https://researchseminars.org/talk/FOTR/46/
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