Log-concavity of coefficients of characteristic polynomials of matroids.

Series
Algebra Student Seminar
Time
Friday, April 29, 2022 - 11:00am for 1 hour (actually 50 minutes)
Location
Skiles 006 or ONLINE
Speaker
Tong Jin – Georgia Tech – https://sites.google.com/view/ga-sas/
Organizer
Marc Harkonen

This is an expanded version of a 10-minute presentation in MATH 6422. I'll explain what matroids and their characteristic polynomials as well as log-concavity mean, and then sketch a proof due to Petter Brändén and Jonathan Leake (arXiv:2110.00487). If time permits, I'll describe several consequences of this and/or other existing yet different proofs.

 

Teams link: https://teams.microsoft.com/l/meetup-join/19%3a3a9d7f9d1fca4f5b991b4029b09c69a1%40thread.tacv2/1651153648881?context=%7b%22Tid%22%3a%22482198bb-ae7b-4b25-8b7a-6d7f32faa083%22%2c%22Oid%22%3a%2206706002-23ff-4989-8721-b078835bae91%22%7d