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

- Series
- Algebra Seminar
- Time
- Monday, April 8, 2013 - 16:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- June Huh – 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.