Tutte polynomials in combinatorics and geometry
The Tutte polynomial is a combinatorial polynomial that one associates to a set of vectors V.
This polynomial knows an incredible amount about the geometric, algebraic, and combinatorial properties of V.
I will define this polynomial and illustrate a few of its properties.
This talk will be accesible to undergraduate students, and will require no previous knowledge of the topic.
Federico Ardila is an Associate Professor of Mathematics at San Francisco State University.
He studies objects in algebra, geometry, topology and applications by understanding their underlying discrete structure.
He leads the SFSU-Colombia Combinatorics Initiative, a research and learning collaboration between students and researchers in the United States and Colombia.
When he is not at work, you might find him on the fútbol field or treasure hunting in little record stores.