A. Lenzhen - Limit sets of Teichmuller geodesic rays in the Thurston boundary of Teichmuller space

Anna Lenzhen (1) , Yohan Girard (2)

1 UR - Université de Rennes
2 IF - Institut Fourier

H. Masur showed in the early 80s that almost every Teichmuller ray converges to a unique point in PMF. It is also known since a while that there are rays that have more than one accumulation point in the boundary. I will give an overview of what is understood so far about the limit sets of Teichmuller rays, mentioning some recent progress. For example, I will mention recent joint work with K. Rafi and B. Modami where we give a construction of a ray whose limit set in PMF is a d-dimensional simplex.

Mots clés: Teichmüller dynamics mapping class groups and applications; Limit sets of Teichmuller; geodesic rays; Thurston boundary

Mots clés: eem2018; Grenoble

Domaines: Mathématiques [math]

Anna Lenzhen, Yohan Girard. A. Lenzhen - Limit sets of Teichmuller geodesic rays in the Thurston boundary of Teichmuller space: Summer School 2018 - Teichmüller dynamics, mapping class groups and applications. 2018. ⟨medihal-01836371⟩