Quantization of Cluster Poisson Varieties and Its Applications to CFT

Explore the quantization of cluster Poisson varieties and their applications to conformal field theory in this comprehensive 3 hour and 36 minute lecture series delivered by Alexander Goncharov from Yale University and Vladimir Fock from the University of Strasbourg. Delve into advanced mathematical concepts at the intersection of algebraic geometry, mathematical physics, and representation theory as part of the workshop "Intersections of Topological Recursion, Conformal Field Theory, and Random Geometry." Learn how cluster Poisson varieties can be quantized and discover their significant applications in conformal field theory, gaining insights into cutting-edge research that bridges pure mathematics and theoretical physics. Examine the sophisticated mathematical frameworks that connect cluster algebras, Poisson geometry, and quantum field theory through detailed presentations by leading experts in the field.