# Dynamics Seminar 2020-2021

The Dynamics Seminar meets virtually on **Wednesdays** from **2:30pm - 3:20pm**.

For more information, contact Chenxi Wu.
To sign up for the mailing list send an email from your wisc.edu address to dynamics+join@g-groups.wisc.edu

## Fall 2020

date | speaker | title | host(s) |
---|---|---|---|

September 16 | Andrew Zimmer (Wisconsin) | An introduction to Anosov representations I | (local) |

September 23 | Andrew Zimmer (Wisconsin) | An introduction to Anosov representations II | (local) |

September 30 | Chenxi Wu (Wisconsin) | Asymptomatic translation lengths on free factor complexes | (local) |

October 7 | Kathryn Lindsey | TBA | (Boston College) |

## Fall Abstracts

### Andrew Zimmer

"An introduction to Anosov representations"

Anosov representations are a special class of representations of finitely generated groups into Lie groups, which are defined using ideas from dynamics (namely, the theory of Anosov flows). In this talk, I will explain the definition (in a special case), give some examples, and describe some properties. I will focus on the case of representations into the general linear group where no background knowledge about Lie groups is required.

### Chenxi Wu

"Asymptotic translation lengths on free factor complex"

The free factor complex is a graph theoretic analogy of the curve complex of surfaces. I will review some results about the asymptotic translation length of pseudo-Anosov action on curve complexes, in particular, the estimate of asymptotic translation lengths for pseudo-Anosovs with the same mapping torus, and the analogous results in the setting of free factor complexes. This will include prior works with Hyungryul Baik, Eiko Kin and Hyunshik Shin, as well as ongoing work with Hyungryul Baik and Dongryul Kim.