Rota's conjecture, the missing axiom, and the tropical Laplacian

Algebra Seminar
Monday, April 8, 2013 - 16:05
1 hour (actually 50 minutes)
Skiles 006
University of Michigan
Rota's conjecture predicts that the coefficients of the characteristic polynomial of a matroid form a log-concave sequence. I will talk about Rota's conjecture and several related topics: the proof of the conjecture for representable matroids, a relation to the missing axiom, and a search for a new discrete Riemannian geometry based on the tropical Laplacian. This is an ongoing joint effort with Eric Katz.