C. Leininger - Teichmüller spaces and pseudo-Anosov homeomorphism (Part 1)

Yohan Girard (1) , Christopher Leininger (2)

1 IF - Institut Fourier
2 UIUC - University of Illinois at Urbana-Champaign [Urbana]

I will start by describing the Teichmuller space of a surface of finite type from the perspective of both hyperbolic and complex structures and the action of the mapping class group on it. Then I will describe Thurston's compactification of Teichmuller space, and state his classification theorem. After that, I will focus on pseudo-Anosov homeomorphisms, describe a little bit about their dynamics, and discuss the geometry/dynamics of the associated mapping tori.

Mots clés: Teichmüller dynamics mapping class groups and applications; Teichmüller spaces; pseudo-Anosov homeomorphism

Mots clés: eem2018; Grenoble

Domaines: Mathématiques [math]

Yohan Girard, Christopher Leininger. C. Leininger - Teichmüller spaces and pseudo-Anosov homeomorphism (Part 1): Summer School 2018 - Teichmüller dynamics, mapping class groups and applications. 2018. ⟨medihal-01834582⟩