Explore the intricacies of geometric recursion and its relationship to topological recursion in this lecture by Jørgen Ellegaard Andersen from the University of Southern Denmark. Delve into the target theory of continuous functions on Teichmüller spaces and examine various classes of mapping class group invariant functions that satisfy geometric recursion. Discover how these functions, when integrated over moduli spaces, lead to averages that fulfill topological recursion. Gain insights into potential future applications of geometric recursion, particularly in the context of Gromov-Witten invariants and Fukaya Categories. Learn about the collaborative efforts behind the construction of geometric recursion and its connection to topological recursion, as presented in this comprehensive talk from the University of Miami.
Overview
Syllabus
Geometric Recursion: Lecture II
Taught by
IMSA