Introduction to quantum groups and their representation theory

This talk will start with a gentle introduction to quantum
groups and their representations. I will recall the representation
theory of complex semi-simple Lie algebras, and explain how quantum
groups can be seen as a deformation of this theory. Then we will turn
to integral forms, and how this enables one to consider
representations at roots of unity. By considering a quotient one can
define certain braided semi-simple tensor categories, which eventually
lead to Reshetikhin-Turaev invariants. (Probably there won't be enough
time to cover everything this week.)