On semiconjugate rational functions

Mon, 24/12/2012 - 14:00
Speaker: 
Seminar: 
Abstract: 

A classification of commuting rational functions, that is of rational   
solutions of the functional equation A(X)=X(A), was obtained in the beginning of  
the past century by Fatou, Julia, and Ritt. In the talk we will present a solution
of a more general problem of description of semiconjugate rational functions, that
is of rational solutions of the functional equation A(X)=X(B) in terms of groups  
acting properly discontinuously on the Riemann sphere or complex plane.