Cartesian Polynomial Monads in Homotopy Type Theory

Watch a Berkeley seminar presentation exploring the integration of homotopy type theory with polynomial monads as a solution to representing infinite coherences in higher categories. Delve into how modern mathematics necessitates higher categories and structures, particularly in topological spaces and homotopy theory. Learn about the autophagy problem in encoding algebraic structures and discover Finster, Allioux, and Sozeau's solution through the axiomatization of polynomial monads. Examine Baez and Dolan's slice construction and its ability to capture infinite coherences, even when starting with classical polynomial monads. Understand the practical implications of this theoretical framework for developing computational systems and mathematical foundations.