Tensor Categories Arising from the Virasoro Algebra and Quantum Groups

Explore the mathematical connections between tensor categories, the Virasoro algebra, and quantum groups in this 56-minute conference talk by S. Koshida from Aalto University. Delve into advanced topics in mathematical physics and representation theory as part of the "Intersections of Topological Recursion, Conformal Field Theory, and Random Geometry" conference organized by NCCR SwissMAP. Examine how tensor categories emerge from these fundamental algebraic structures and understand their role in bridging different areas of theoretical mathematics and physics. Gain insights into the sophisticated mathematical framework that underlies conformal field theory and its applications to random geometry and topological recursion.