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Characteristic dependence of syzygies of random monomial ideals
Algebraic Geometry and Number Theory| Speaker: | Caitlyn Booms, University of Wisconsin |
| Related Webpage: | https://sites.google.com/wisc.edu/cbooms |
| Location: | Virtual MSB |
| Start time: | Wed, Dec 9 2020, 11:00AM |
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.
Pre-talk at 10:30am.