DMS Algebra Seminar

Speaker: Sean Grate (Auburn)

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 minimum 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 traditional results and ideas from classical algebraic geometry such as Bezout's Theorem. These will mainly be explored through examples.