Matrices Filled by Variables: From Posets to Coxeter Groups and Beyond

Explore advanced mathematical concepts in this 54-minute lecture where Maxim Kontsevich from IHES expands upon his CAP2023 presentation about matrices filled with variables that possess eigenvalues as linear forms. Delve into the evolution from the original construction based on finite posets to a broader framework involving convex sets in general reflection groups, including scenarios where no group is present. Learn about the mathematical relationships between posets, Coxeter groups, and their extensions in matrix theory through this detailed academic presentation available on CARMIN.tv, a specialized French platform for mathematical research content.