Algebra and Combinatorics Seminar
Date: November 13, 2020
Time: 3:00PM - 4:00PM
Location: Zoom
Speaker: Jay Yang, U of Minnesota
Title: Virtual Resolutions of Monomial Ideals
Abstract: Virtual Resolutions a concept introduced by Berkesch, Erman, and Smith to provide a more meaningful theory of syzygies for modules over the Cox ring of a toric variety. I will discuss recent progress on applying the tools of monomial ideals to the problem of virtual resolutions, in particular a virtual analog of Hilbert's Syzygy Theorem, as well as recent progress on virtually Cohen-Macaulay modules and current work towards a virtual Auslander-Buchsbaum formula. This includes upcoming joint work with Christine Berkesch, Patricia Klein, and Michael C. Loper.