Workshop on Representation Theory and Geometry

What can one say about the fields of values of irreducible complex characters $\chi$ of a given finite group $G$? In particular when $G$ is a finite (quasi)simple group? What about the ``McKay situation'', i.e. when the degree of $\chi$ is coprime to a fixed prime $p$? We will discuss these and related questions, and report on some recent results, most of which are obtained jointly with G. Navarro.