Quantum Painlevé/Gauge Theory Correspondence and the Heun Connection Problem

Explore a detailed lecture examining the interconnections between Painlevé equations, supersymmetric gauge theories, and Liouville conformal field theory, with particular focus on solving the connection problem for Heun functions through combinatorial formulas derived from supersymmetric localization. Delve into ongoing research extending these relationships to quantum Painlevé equations, presented by Alessandro Tanzini from SISSA Trieste at the Institut des Hautes Etudes Scientifiques (IHES). Learn advanced mathematical concepts at the intersection of quantum mechanics, gauge theory, and differential equations while gaining insights into cutting-edge developments in theoretical physics and mathematics.