Date:
Thu, 2015-03-26 14:00 - 15:00
This is a tentative outline of my two lectures. No prior knowledge of vertex
rings is assumed, though the foundations will be covered only sketchily due to
time constraints. The main purpose of the lectures is to explain how modularity
enters into VOA theory, and to discuss an approach to the general problem of
modular-invariance in rational CFT based on a theory of vector-valued modular
forms, Fuchsian systems, and the Riemann-Hilbert problem.
Optional background reading on VOAs:
U. Heidelberg, downloadable lecture notes on connections between VOAs and the