Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves (Surveys of Modern Mathematics) - Softcover
Synopsis
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.
Lizhen Ji is a professor at the University of Michigan. He is interested in subjects related to geometry, topology and analysis, and especially the connections between them. He is also interested in reading and writing books, and has received a Sloan research fellowship.
Eduard J. N. Looijenga is one of the best algebraic geometers in the world and one of the leading mathematicians of his generation. He is a member of the Royal Netherlands Academy of Arts and Sciences and now teaches at Tsinghua University.
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Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves
Seller: Revaluation Books, Exeter, United Kingdom
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