Departmental Colloquium
Josephine Yu
MIT
Tropical Implicitization and Mixed Fiber Polytopes
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. No knowledge of tropical geometry will be assumed,
and the talk will include an introduction to this subject.
This is based on joint works with Bernd Sturmfels and Jenia Tevelev.
(The talk will be accessible to graduate students)
Friday September 19, 2008 at 3:00 PM in SEO 636