# Alexandre Eremenko

## "Invariant Curves and Semiconjugacies of Rational Functions"

 Date: Mon, April 24, 2017 Time: 17:15 Place: Lecture Hall, Research II

Abstract: Let $$f$$ be a rational function. What are the Jordan analytic curves invariant under $$f$$? This question was raised by Fatou in the very end of his memoir where he introduced and developed the global holomorphic dynamics. In this talk I will explain what is known about this question. Based on the recent results of Eremenko, Pakovich, and Muller.

The colloquium is preceded by tea from 16:45 in the Resnikoff Mathematics Common Room, Research I, 127.