Hyperbolic generalization of linear algebra

Series
Algebra Student Seminar
Time
Friday, February 4, 2022 - 11:00am for 1 hour (actually 50 minutes)
Location
Skiles 006, or ONLINE
Speaker
Shengding Sun – Georgia Tech – https://sites.google.com/view/ga-sas/
Organizer
Marc Härkönen

We will introduce the machinery of hyperbolic polynomial, and see how it can help us generalize classical linear algebra theorems and inequalities on symmetric matrices, including Hadamard-Fischer inequality, Koteljanskii's inequality and Schur-Horn theorem (last one is conjectured but not proved). Joint work with Greg Blekherman, Mario Kummer, Raman Sanyal and Kevin Shu.

 

Team link: https://teams.microsoft.com/l/meetup-join/19%3a3a9d7f9d1fca4f5b991b4029b09c69a1%40thread.tacv2/1643388106130?context=%7b%22Tid%22%3a%22482198bb-ae7b-4b25-8b7a-6d7f32faa083%22%2c%22Oid%22%3a%2206706002-23ff-4989-8721-b078835bae91%22%7d