Affine algebras and Langlands program

Project level: PhD

The Langlands program is one of the most ambitious research projects in mathematics. In the past decade it has become clear that representations of affine Kac-Moody algebras are intimately related with the geometric Langlands program. The aim of this project is to use prove new results in the geometric Langlands program by studying representations of affine Kac-Moody algebras.