In tropical mathematics the tropical semi-ring consists of the real numbers with two operations: max and plus. Tropical polynomials with coefficients in this semi-ring define tropical hypersurfaces in R^n. These are polyhedral complexes. Given the support of $n+1$ tropical polynomials, we may ask for which choices of coefficients the $n+1$ tropical hypersurfaces have a non-empty intersection. This set of choices is called the tropical resultant. In this talk we investigate how the Newton polytope of the more common sparse mixed resultant can be recovered tropically.
This is joint work with Josephine Yu.