The University of Michigan Combinatorics Seminar
Fall 2005
October 28, 4:10-5:00, 3866 East Hall



Tropical polytopes and their implications

Mike Develin

American Institute of Mathematics


Abstract

Tropical mathematics is mathematics done over the min-plus or max-plus semiring (R, min/max, +); it has been a recently burgeoning field with connections to computational biology, algebraic geometry, combinatorics, and many other fields of mathematics. In this talk we discuss tropical polytopes, conducting an investigation of their true nature and using them to construct a nice family of resolutions of monomial ideals.