University of Cambridge > > Junior Geometry Seminar > Introduction to the Teichmuller space

Introduction to the Teichmuller space

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  • UserAnnamaria Ortu (Scuola Internazionale Superiore di Studi Avanzati)
  • ClockFriday 25 February 2022, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Macarena Arenas.

The Teichmuller space is a generalisation of the moduli space of Riemann surfaces, and it can be studied from many different points of view, geometrical and analytical. In the first part of the talk, we will briefly review the geometry of the hyperbolic plane and give an introduction on Fuchsian groups. Then we will describe the Teichmuller space of genus 1 Riemann surfaces by means of marked tori. We will thus generalize this construction to higher genus, and give a description of the Teichmuller space as the space which parametrizes the deformations of the complex structures on a given Riemann surface.

This talk is part of the Junior Geometry Seminar series.

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