### Mathematics Colloquium

# Igors Gorbovickis

### (Jacobs University Bremen)

## "Renormalization operator and dynamics on the circle"

** Date: ** |
Mon, September 25, 2017 |

** Time: ** |
17:15 |

** Place: ** |
Lecture Hall, Research II |

**Abstract:** Renormalization has been one of the central themes in modern low-dimensional dynamics. It is defined as a certain non-linear operator on a (usually infinitely dimensional) space of dynamical systems and can be viewed as a dynamical system itself. The dynamical properties of the renormalization operator and the structure of its attractor play an important role in understanding the behavior of the original dynamical systems at small scales. We will give an introduction to the theory of renormalization in one-dimensional dynamics and discuss some recent results and open problems. Most of this discussion will be centered around the dynamics on the circle.

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