A Skein Theoretic Approach to CFT Correlators - Part 1 of 3

Explore a comprehensive lecture on conformal field theory (CFT) correlators using a skein theoretic approach. Delve into complex CFT, double mapping class groups, and orientation in local coordinates. Examine complex geometry, structures, and manifolds, as well as simple connectivity and fundamental domains. Investigate classical results, vertex algebras, and the Virasoro algebra, including eigenvalues and super extensions. Gain insights into algebraic structures and their applications in CFT. This in-depth presentation, delivered by Christoph Schweigert at the Galileo Galilei Institute, offers a thorough exploration of advanced topics in theoretical physics and mathematics over the course of nearly two hours.

Intro
Overview
General comments
Complex CFT
Shortcut Double
Mapping Class Group
Orientation
Local coordinates
Complex geometry
Complex structures
Complex manifold
Simple connect
Fundamental domain
Classical results
Vertex algebras
virasuro algebra
eigenvalues
super extensions
algebraic structures