Topological Recursion and Irregular Conformal Block via Painlevé and WKB

Explore the intricate connections between topological recursion and irregular conformal blocks through the lens of Painlevé equations and WKB analysis in this advanced mathematical lecture. Delve into the sophisticated mathematical framework that bridges topological recursion theory with conformal field theory, examining how Painlevé transcendents and WKB (Wentzel-Kramers-Brillouin) methods provide powerful tools for understanding irregular conformal blocks. Learn about the deep mathematical structures underlying these concepts and their applications in modern theoretical physics and mathematics. Discover how these seemingly disparate areas of mathematics interconnect through elegant theoretical constructions, with particular emphasis on the role of differential equations and asymptotic analysis. Gain insights into cutting-edge research at the intersection of algebraic geometry, mathematical physics, and integrable systems, presented by a leading expert from the University of Tokyo as part of a specialized workshop on topological recursion, conformal field theory, and random geometry.