Cartan Geometry and Physics: Vortex Duality and Chern-Simons Gravity

Explore a 41-minute lecture on the intersection of Cartan geometry and physics, focusing on the fundamental concepts of vortex duality and Chern-Simons gravity. Delve into advanced mathematical physics as the relationships between geometric structures and physical phenomena are examined through the lens of Cartan's geometric framework. Learn how vortex duality principles connect with Chern-Simons gravitational theory, providing insights into the mathematical foundations that underpin modern theoretical physics.