Talk page
Title:
Quantization of Hitchin moduli space, Liouville theory,
and the (quantum) geometric Langlands correspondence
Speaker:
Abstract:
The aim of my talk will be to elucidate the relations between Liouville theory and the quantization of the Hitchin moduli spaces. We will show that Liouville theory unifies the quantization of the Hitchin integrable system (Hitchin moduli space in complex structure I) and the quantization of the isomonodromic deformation equations (Hitchin moduli space in complex structure J) in a suitable sense. The resulting picture is closely related to the (quantization of the) geometric Langlands correspondence.
Link:
Workshop: