Explore the intricate connections between Poincaré duality and Topological Quantum Field Theory (TQFT) structures in the context of loop spaces in this 56-minute lecture by K. Cieliebak from Augsburg. Delve into advanced topics in algebra and topology, with a focus on the Grothendieck-Teichmüller group. Gain insights into the mathematical foundations that underpin these complex concepts and their applications in modern theoretical physics and mathematics.