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Algebra & Combinatorics Seminar

Title: Cross-ratios and perfect matchings
Speaker: Rob Silversmith (Warwick Mathematics Institute, UK)
Date: 14 December 2022
Time: 10 am
Venue: LH-1, Mathematics Department

Given a bipartite graph $G$ (subject to a constraint), the “cross-ratio degree” of G is a non-negative integer invariant of $G$, defined via a simple counting problem in algebraic geometry. I will discuss some natural contexts in which cross-ratio degrees arise. I will then present a perhaps-surprising upper bound on cross-ratio degrees in terms of counting perfect matchings. Finally, time permitting, I may discuss the tropical side of the story.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 06 Jun 2023