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Algebraic Geometry Seminar, UC Davis

Caitlyn Booms, University of Wisconsin

Characteristic dependence of syzygies of random monomial ideals

Organizer's time: 2020-12-09 11:00 America/Los_Angeles

To what extent do syzygies depend on the characteristic of the field? Even for well-studied families of examples, very little is known. We will explore this question for a family of random monomial ideals, namely the Stanley-Reisner ideals of random flag complexes, and we will then use our results to develop a heuristic for characteristic dependence of asymptotic syzygies in geometric settings.

Submitted by: Eugene Gorsky