Tropical Quiver Representations and Their Geometric Applications

Watch a 58-minute lecture from the Geometry of Matroid Workshop where Durham University's Victoria Schleis explores the intersection of tropical geometry and quiver representations. Delve into the fascinating world of Grassmannians and flag varieties as important moduli spaces in algebraic geometry, and discover how quiver Grassmannians serve as their natural generalizations in representation theory. Learn about the development of matroidal and tropical analoga of quivers and their Grassmannians, examining them through the lens of affine morphisms of valuated matroids and linear maps of tropical linear spaces. Explore ongoing research into polyhedral characterization of morphisms and gain insights into recent developments in applying and extending this theoretical framework, based on collaborative work with Alessio Borzì and Giulia Iezzi.