Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves

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  • Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves Book Detail

  • Author : Lizhen Ji
  • Release Date : 2017-12-30
  • Publisher :
  • Genre : Geometry, Algebraic
  • Pages : 232
  • ISBN 13 : 9781571463531
  • File Size : 81,81 MB

Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves by Lizhen Ji PDF Summary

Book Description: The concept of Riemann surfaces was introduced in Riemann's thesis, and the moduli space of Riemann surfaces was defined by Riemann in a masterpiece a few years later. Due to a broad connection with many subjects in mathematics and physics, Riemann surfaces and their moduli spaces have been intensively studied and should continue to attract attention in years to come. Recently, there has been an explosion of interest in and work on tropical algebraic curves--analogues of algebraic curves over the complex numbers and hence of Riemann surfaces. This book is an accessible introduction to all these topics, with special emphasis given to their many connections with subjects such as algebraic geometry, complex analysis, hyperbolic geometry, topology, geometric group theory, and mathematical physics.

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Moduli Spaces of Riemann Surfaces

Moduli Spaces of Riemann Surfaces

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Mapping class groups and moduli spaces of Riemann surfaces were the topics of the Graduate Summer School at the 2011 IAS/Park City Mathematics Institute. This b