Tropical discriminants

Wednesday, November 29, 2006 - 11:15am - 12:15pm
Lind 409
Alicia Dickenstein (University of Buenos Aires)
The theory of A-discriminants is a far going generalization of the discriminant of a univariate polynomial, proposed in the late 80's by Gel'fand, Kapranov and Zelevinsky, who also described many of their combinatorial properties. We present a new approach to this theory using tropical geometry. We tropicalize the Horn-Kapranov uniformization, which allows us to determine invariants of A-discriminants, even if the actual equations are too hard to be computed. Joint work with Eva Maria Feichtner and Bernd Sturmfels.