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)	Asymptoic translation lengths on curve complexes and 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 curve complexes and free factor complexes"

The curve complex of a closed surface is a simplicial complex where the vertices are simple closed curves up to isotopy and faces are curves that are disjoint, and an analogy for the curve complex in the setting of Out(F_n) is the free factor complex. A pseudo-Anosov map induces a map from the curve graph to itself, and a basic question is to study the asymptotic translation length which is known to be a non-zero rational number. I will review some prior results on the study of this asymptotic translation length, as well as some of their analogies in the setting of free factor complexes. The latter part is an ongoing project with Hyrungryul Baik and Dongryul Kim.