DMS Graduate Student Seminar

Speaker: Sean Grate

Title: A brief introduction to tropical geometry

Abstract: The tropical semiring can be defined as the semiring over the extended real numbers where addition is defined by taking the maximum and multiplication is defined by classical addition. In this setting, there is a nice interplay between algebra and polyhedral geometry. In this talk, I plan on giving a brief introduction to some of the tropical analogs for results and ideas from classical algebraic geometry such as zeros of polynomials and Bezout's Theorem. These will mainly be explored through examples.