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Séminaire de Géométrie

On semi-conjugate rational functions.

Fedor PAKOVICH

( Dpt of Mathematics, Ben Gurion University, Israel )

Salle 2

le 30 mai 2014 à 10:45

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 semi-conjugate 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.