Tropical Mathematics
Combinatorics
2007-05-23 v1 Algebraic Geometry
Abstract
These are the notes for the Clay Mathematics Institute Senior Scholar Lecture which was delivered by Bernd Sturmfels in Park City, Utah, on July 22, 2004. The topic of this lecture is the ``tropical approach'' in mathematics, which has gotten a lot of attention recently in combinatorics, algebraic geometry and related fields. It offers an an elementary introduction to this subject, touching upon Arithmetic, Polynomials, Curves, Phylogenetics and Linear Spaces. Each section ends with a suggestion for further research. The bibliography contains numerousreferences for further reading in this field.
Cite
@article{arxiv.math/0408099,
title = {Tropical Mathematics},
author = {David Speyer and Bernd Sturmfels},
journal= {arXiv preprint arXiv:math/0408099},
year = {2007}
}
Comments
15 pages, introductory exposition