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Introduction to Teichmüller theory Lecture 1

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Authors : Fanoni, Federica (Author of the conference)
CIRM (Publisher )

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Abstract : We will introduce Teichmüller space and its different interpretations. We will discuss its topology and its geometry, and talk about how to construct a boundary. We will concentrate on closed surfaces and give hints at added difficulties when the surface is not closed.

Keywords : Teichmüller space; hyperbolic surfaces; Teichmüller metric

MSC Codes :
30F10 - Compact Riemann surfaces and uniformization [See also 14H15, 32G15]
30F60 - Teichmüller theory
57K20 - 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.)

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 25/04/2025
    Conference Date : 14/04/2025
    Subseries : Research School
    arXiv category : Geometric Topology ; Differential Geometry
    Mathematical Area(s) : Geometry
    Format : MP4 (.mp4) - HD
    Video Time : 01:34:22
    Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students
    Download : https://videos.cirm-math.fr/2025-04-14_Fanoni_Part1

Information on the Event

Event Title : Geometric structures and discrete group actions / Structures géométriques et actions de groupes discrets
Event Organizers : Bromberg, Kenneth ; Dal'Bo, Françoise ; Parreau, Anne ; Tholozan, Nicolas ; Toulisse, Jérémy
Dates : 14/04/2025 - 18/04/2025
Event Year : 2025
Event URL : https://conferences.cirm-math.fr/3241.html

Citation Data

DOI : 10.24350/CIRM.V.20342403
Cite this video as: Fanoni, Federica (2025). Introduction to Teichmüller theory Lecture 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20342403
URI : http://dx.doi.org/10.24350/CIRM.V.20342403

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