Abstract:
I will talk on quantum variations of classical McKay correspondence between the finite subgroups of SL_2 and the affine Dynkin diagrams. Thus we replace the group SL_2 by the tensor category C of representations of quantum SL_2 and the finite subgroups by the module categories over C. It appears that in this quantized McKay correspondence all the graphs show up (but something special happens for finite Dynkin diagrams). As an application we discuss a natural interpretation of the preprojective algebras in these terms.
