Mathematische Gesellschaft

Donnerstag, 01.12.2016

Prof. Dr. Catharina Stroppel , Universtität Bonn

From Kleinian singularities to categorification and representation theory


In the first part of this talk we describe the combinatorics of Kleinian singularities attached to finite subgroups of SL2(C). These beautiful singularities can be explicitly described as a zero set of certain polynomials. In the second part we will illustrate the relevance of these singularities in the theory of categorifications and connect it with modern questions in representation theory. In particular we indicate the connection to Khovanov's categorification of the Jones polynomial.