# Rota's conjecture and positivity of algebraic cycles in toric varieties

Tuesday, March 4, 2014 -

4:30pm to 5:30pm

This is a joint Algebraic Geometry / Discrete Mathematics seminar. Rota's conjecture predicts that the coefficients of the characteristic polynomial of a matroid form a log-concave sequence. I will outline a proof for representable matroids using the Bergman fan. The same approach to the conjecture in the general case (for possibly non-realizable matroids) leads to several intriguing questions on higher codimension algebraic cycles in the toric variety associated to the permutohedron.

Speaker:

June Huh

University of Michigan

Event Location:

Fine Hall 322