Prequels and Possible Sequels to Topological Recursion
Offered By: IMSA via YouTube
Course Description
Overview
Explore a three-part lecture on topological recursion, its historical context, and potential future developments. Begin with a review of the prequel to topological recursion, examining higher Weil-Peterson volumes and logarithmic field theories from the mid-1990s. Delve into the structure of Hopf algebras of graphs, bi-algebras, and Hopf algebras from Feynman categories, focusing on their infinitesimal and logarithmic structures. Conclude by combining these theories, investigating how to obtain moduli spaces from discrete data through cubical complexes, and discussing conjectures about generalizations and future directions in topological recursion.
Syllabus
Prequels and Possible Sequels to Topological Recursion
Taught by
IMSA
Related Courses
One-Dimensional Objects - Algebraic TopologyInsights into Mathematics via YouTube Distinguishing Monotone Lagrangians via Holomorphic Annuli - Ailsa Keating
Institute for Advanced Study via YouTube Pseudoholomorphic Curves with Boundary - Can You Count Them? Can You Really? - Sara Tukachinsky
Institute for Advanced Study via YouTube Mixing Surfaces, Algebra, and Geometry
Joint Mathematics Meetings via YouTube Representations of Fuchsian Groups, Parahoric Group Schemes by Vikraman Balaji
International Centre for Theoretical Sciences via YouTube