Commutative Algebra Seminar

Spring 2019, Friday 2:30–3:20, LCB 222

Date Speaker Title — click for abstract
January 25 Sudhir Ghorpade
IIT Bombay
February 1 Claudia Miller
Syracuse University
February 8 Patricia Klein
University of Kentucky
February 15
February 22 Adam Boocher
University of San Diego
Using Boij-Soederberg theory to bound Betti numbers
Suppose that I is a homoeneous ideal of height c in a polynomial ring. Such ideals have at least c minimal generators, and that is about all we can say in this generality. If however we impose bounds on the regularity of the ideal then there are surprising constraints on the number of generators (and other Betti numbers). In this talk I'll describe how Boij-Soederberg Theory gives rise to statements like this and how we use these methods to prove strong lower bounds for the total Betti number of modules with low regularity.
March 1 John Zhang
UCLA
March 8 Janina Letz
University of Utah
March 15 Spring Break
March 22
March 29
April 5
April 12
April 19 Vesna Stojanoska
University of Illinois, Urbana-Champaign

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