Geometric Recursion - Lecture I

Explore a comprehensive lecture on Geometric Recursion delivered by Jørgen Ellegaard Andersen from the University of Southern Denmark. Delve into the relationship between geometric recursion and topological recursion, focusing on the target theory of continuous functions on Teichmüller spaces. Examine various classes of mapping class group invariant functions that satisfy geometric recursion, and learn how their averages over moduli spaces adhere to topological recursion. Gain insights into future applications of geometric recursion, including its relevance to Gromov-Witten invariants and Fukaya Categories. Cover key topics such as overview, examples, domain, target theory, recursion, admissible initial data, and the connection to broader concepts. Understand the fundamental aspects of Geometric Recursion, including disjoint union and initial data.