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Texas A&M University
Mathematics

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.