Topics in Geometric Representation Theory

Geometric representation theory constructs representations of various algebraic objects in a geometrical way. It is interesting for both representation theory and for geometry. There are non-trivial connections to algebraic combinatorics and mathematical physics. In the course we will discuss selected topics, chosen from a list containing topics such as: geometry of moment maps and their representation theory aspects; geometry of Category O of infinite dimensional representations of algebraic groups; universal enveloping algebras and their geometric aspects.