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.
June Huh
University of Michigan
Event Location: 
Fine Hall 322