Quantum affine Lie algebras and Gl(n) over non-Archimedean local fields
We will discus the relationship between the representation theory of quantum affine Lie algebras and that of groups of matrices over non-Archimedean local fields, such as the p-adic numbers. In particular, we will address the question of when the tensor of two simple representations of a quantum affine lie algebra is simple and the corresponding question of when the parabolic induction of two simple representations of p-adic matrices is simple.