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