Steven Sam : Betti tables of graded modules and cohomology tables of coherent sheaves

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

Nov. 7, 2013, noon

In

SEO 427

Abstract

I'll give a brief overview of some results in "Boij-Soderberg theory", which on the algebraic side is the study of cones of Betti tables of graded modules, and on the geometric side is the study of cones of cohomology tables of coherent sheaves. I'll state some problems and possible research directions (for example, related to noncommutative algebra and degeneracy loci formulae).