UK WILDCATS Seminar

"Tropical implicitization and mixed fiber polytopes"

Josephine Yu
MIT

Wednesday, April 1, 2009
4:00 pm, 234 Classroom Building

Abstract:

We apply tropical geometry to study the image of a map defined by Laurent polynomials with generic coefficients. If this image is a hypersurface then our approach gives a construction of the Newton polytope of its defining equation. This construction can be used to compute mixed fiber polytopes, including secondary polytopes. The talk will include an introduction to tropical varieties. This is based on joint work with Bernd Sturmfels and Jenia Tevelev.