UC Berkeley

Commutative Algebra and Algebraic Geometry Seminar

February 09, 2016

939 Evans Hall

3:45PM: Boij-Soderberg Theory

Nic Ford

Given a graded module over a polynomial ring, we can construct its Betti table by taking a minimal free resolution and counting the number of generators in each degree at each step of the resolution. In general it's very difficult to tell whether a table of nonnegative integers is actually the Betti table of a module, but some surprising recent results give an answer to a slightly weaker question: the Boij-Soderberg conjectures (now theorems) give a complete classification of Betti tables of graded modules up multiplication by a rational number. This talk will give an introduction to this elegant collection of ideas and, time permitting, describe an attempt to generalize the story to the equivariant setting.

5:00PM: 3264 & All That

Student seminar

Student seminar on intersection theory -- first meeting

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