Explore the intersection of Gromov-Witten theory and statistical physics in this one-hour lecture by Jian Zhou at BIMSA. Delve into the mathematical foundations of topological string theory and discover how concepts from statistical physics can provide new insights into Gromov-Witten type theories. Examine the application of mean field theory, Wilson renormalization theory, and emergent phenomena to the study of generating series of Gromov-Witten invariants. Then, investigate the reverse application, learning how Gromov-Witten theory concepts can be utilized to understand interpolating statistics in fractional quantum Hall effects. Gain a deeper understanding of the connections between these complex mathematical and physical theories, bridging the gap between formal mathematical structures and real-world physical phenomena.