### Mathematics Colloquium

# Alexandre Eremenko

### (Purdue University)

## "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.*