From Hall Algebras to Legendrian Skein Algebras

Explore the intriguing connection between Hall algebras of Fukaya categories of surfaces and skein algebras in this hour-long lecture. Delve into the precise relationship using knot theory of legendrian curves and general gluing properties of skein and Hall algebras. Gain insights into key concepts such as Hall algebras, Fukaya categories of surfaces, and skein theory. Learn about recent developments based on research by Morton-Samuelson and Samuelson-Cooper, as well as ongoing work with Ben Cooper. Discover how this mysterious relation is being unraveled through cutting-edge mathematical research.