11.20 - 12.10, Eugenio Giannelli: McKay bijections and character degrees.
Abstracts.
1. In the first talk we will recall the definition of the zeta function in the title and we will report on some recent progress on the calculations of such zeta functions for semidirect products of abelian groups.
2. The McKay conjecture has been a central problem in the representation theory of finite groups for over 60 years. A complete proof was only recently achieved through the work of Cabanes and Späth. In the second talk, we will present a new refinement of the McKay conjecture and outline its proof for the class of symmetric groups.