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SUMMARY:Introduction to the Teichmuller space - Annamaria Ortu (Scuola Int
 ernazionale Superiore di Studi Avanzati)
DTSTART:20220225T160000Z
DTEND:20220225T170000Z
UID:TALK168128@talks.cam.ac.uk
CONTACT:Macarena Arenas
DESCRIPTION: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 introduct
 ion on Fuchsian groups. Then we will describe the Teichmuller space of gen
 us 1 Riemann surfaces by means of marked tori. We will thus generalize thi
 s construction to higher genus\, and give a description of the Teichmuller
  space as the space which parametrizes the deformations of the complex str
 uctures on a given Riemann surface.
LOCATION:MR13
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