On semiconjugate rational functions
Seminar
Speaker
Prof. Fedor Pakovich, Ben-Gurion University
Date
24/12/2012 - 14:00Add to Calendar
2012-12-24 14:00:00
2012-12-24 14:00:00
On semiconjugate rational functions
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.
אוניברסיטת בר-אילן - Department of Mathematics
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
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.
Last Updated Date : 17/12/2012
