The Asynchronous Computability Theorem - Distributed Systems and Algebraic Topology

Explore the surprising connection between distributed systems protocols and algebraic topology concepts in this 28-minute talk on the Asynchronous Computability Theorem. Delve into a concise mathematical framework that unifies classical concurrency models, enabling reasoning about concurrency through static combinatorial structures. Learn how this connection proves the impossibility of achieving consensus in an asynchronous wait-free model. Gain insights into the mathematical foundations of distributed systems and their limitations as presented by Hei Li at Churchill College, Cambridge on January 19, 2022.