# Representations of rigid matroids

## Location

383N

Event Series

Event Type

Seminar

Friday, April 5, 2024 12:00 PM

Matt Baker (Georgia Tech)

We give a new proof, along with some generalizations, of a folklore theorem - attributed to Laurent Lafforgue - that a rigid matroid (i.e., a matroid whose base polytope is indecomposable) has only finitely many projective equivalence classes of representations over any given field. A key ingredient in the proof is a generalization of the category of commutative rings which we call **bands**.