The Foundation of a Generalized Parallel Connection

Explore a mathematical lecture from the Geometry of Matroid Workshop where Auburn University's Zach Walsh delves into the algebraic invariant properties of matroid foundations and their control over representations across partial fields, hyperfields, and pastures. Learn how the foundation of a generalized parallel connection between two matroids relates to their relative tensor product under specific conditions. Discover the relationship between 2-sum matroid foundations and absolute tensor products through collaborative research findings with Matt Baker, Oliver Lorscheid, and Tianyi Zhang.