You are here

Tropicalization of the principal minors of positive semidefinite matrices

Cynthia Vinzant, University of Washington
Wednesday, January 31, 2024 - 3:30pm to 5:00pm
PDL C-401 and via Zoom Link:


Tropicalization is a way to understand the asymptotic behavior of algebraic (or semi-algebraic) sets through polyhedral geometry. In this talk, I will talk about the tropicalization of the principal minors of positive semidefinite matrices. This gives a combinatorial way of understanding their asymptotic behavior and discovering new inequalities on these minors. The resulting tropicalization will be a subset of M-concave functions on the discrete hypercube closely related to the tropical Grassmannian and tropical flag variety. I will not assume any familiarity with tropical geometry or the positive semidefinite cone. This is based on joint work with Abeer Al Ahmadieh, Felipe Rincón, and Josephine Yu.

Note: This talk begins with a pre-seminar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10.

Join Zoom Meeting:
Meeting ID: 915 4733 5974