BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

Matroids and exterior algebras in tropical algebra Giansiracusa, Jeffrey


Classically, the exterior algebra provides an elegant description of the Plucker embedding.  In this talk I will present an analogue of this picture for matroids (and valuated matroids). Matroids can be thought of as objects defined over the boolean idempotent semiring B={0,1}.  We define a tropical analogue of exterior algebra for any quotient the free module B^n, and we show that a d-multivector w is a matroid if and only if the quotient of B^n that is dual to the kernel of wedging with w has d-th wedge power free of rank 1.

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International