Factorization Algebras in Quite a Lot of Generality

Watch a mathematics colloquium lecture from the University of Edinburgh's Clark Barwick exploring the theoretical foundations of factorization algebras and their applications in arithmetic geometry. Delve into the challenges of translating concepts from differential geometry to arithmetic contexts, particularly focusing on quantum field theories. Learn about a novel mathematical framework that introduces the concept of 'world-structure' - a subtle but crucial additional structure typically left implicit in traditional approaches. Discover how these theoretical developments help bridge the gap between manifolds and arithmetic geometric objects, offering new perspectives on mathematical structures and their relationships.