Drinfeld and Hopf centers and their applications

Lecture by Robert Laugwitz

Title: "Drinfeld and Hopf centers and their applications".

Abstract: In this talk, a categorical action of braided versions of the well-known Drinfeld center on a Hopf analogue, called the Hopf center, is discussed. The general categorical picture gives applications to the representation theory of quantum groups and rational Cherednik algebras, which both fall into a general framework of algebras with triangular decomposition of Bazlov and Berenstein. For rational Cherednik algebras, the acting braided Drinfeld doubles take on the role of quantum groups for a setting where, instead of a lattice, we work with the Drinfeld doubles of complex reflection groups.