Fri, November 5, 2021
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6:00pm [6:30pm] Christopher Eur, Harvard University, Cambridge, MA, USA.
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Speaker: Christopher Eur, Harvard University, Cambridge, MA, USA. Date/Time: 5 November 2021, 6:30pm IST/ 1:00pm GMT / 9:00am ET (joining time 6:15pm IST). Gmeet link: meet.google.com/vya-nyta-kac Title: Tautological classes of matroids. Abstract: Algebraic geometry has furnished fruitful tools for studying matroids, which are combinatorial abstractions of hyperplane arrangements. We first survey some recent developments, pointing out how these developments remained partially disjoint. We then introduce certain vector bundles (K-classes) on permutohedral varieties, which we call "tautological bundles (classes)" of matroids, as a new framework that unifies, recovers, and extends these recent developments. Our framework leads to new questions that further probe the boundary between combinatorics and geometry. Joint work with Andrew Berget, Hunter Spink, and Dennis Tseng. For more information and links to previous seminars, visit the website of VCAS: https://sites.google.com/view/virtual-comm-algebra-seminar