MAGIC028: Geometric Structures on surfaces and Teichmuller Space

Course details

Semester

Spring 2010
Monday, January 11th to Friday, March 19th

Hours

Live lecture hours
10
Recorded lecture hours
0
Total advised study hours
0

Description

Classification of compact Riemann surfaces. Complex and geometric structures on compact surfaces. Teichmüller space. Coordinates on Teichmüller space.

Prerequisites

No prerequisites information is available yet.

Syllabus

The hyperbolic plane and hyperbolic geometry Complex and hyperbolic structures on surfaces Covering space theory for manifolds with extra structure Uniformising theorems for simply connected surfaces with complex or hyperbolic structure. Groups of holomorphic bijections. Covering groups of surfaces. More on hyperbolic geometry. Geodesics, perpendiculars, polygons. Hyperbolic structures on pairs of pants and compact surfaces with boundary. Isotopy of loops and homeomorphisms. Ambient isotopy. Mapping class groups. Teichmuller space. Coordinates, topology.

Lecturer

  • MR

    Prof Mary Rees

    University
    University of Liverpool

Bibliography

No bibliography has been specified for this course.

Assessment

Attention needed

Assessment information will be available nearer the time.

Files

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Lectures

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