Dualities in String Theory and Conformal Field Theory in the context of the Geometric Langlands Program

The Langlands program and its avatars tie together growing numbers of seemingly unrelated areas of Mathematics, and are therefore sometimes dubbed the Grand Unified Theory of Mathematics. In recent years new connections with quantum field theory and string theory have emerged, which has led to a surge in research activity. This project aims to study smooth analogues and consequences of the Geometric Langlands program, in the context of previous work by the Chief Investigators. Outcomes are a better understanding of the scope of dualities in both Mathematics and Physics, which will place Australia at the forefront of such research.