Surveys in Differential Geometry, Vol. 14 (2009): Geometry of Riemann surfaces and their moduli spaces - Hardcover

[various]

Hardcover

ISBN 10: 157146140X ISBN 13: 9781571461407

Publisher: International Press of Boston, 2010

Synopsis

Lectures from the 2009 JDG conference.

Table of Contents

Divisors in the moduli spaces of curves (Enrico Arbarello and Maurizio Cornalba)
Stability phenomena in the topology of moduli spaces (Ralph L. Cohen)
Birational aspects of the geometry of Mg(Gavril Farkas)
The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces (Samuel Grushevsky and Igor Krichever)
Brill-Noether theory (Joe Harris)
GL+2(R)-orbit closures via topological splittings (Pascal Hubert, Erwan Lanneau, and Martin Möller)
Harmonic mappings and moduli spaces of Riemann surfaces (Jürgen Jost and Shing Tung Yau)
Algebraic structures on the topology of moduli spaces of curves and maps (Y.-P. Lee and R. Vakil)
Recent development on the geometry of the Teichmüller and moduli spaces of Riemann surfaces (Kefeng Liu, Xiaofeng Sun, and Shing-Tung Yau)
The universal properties of Teichmüller spaces (Vladimir Markovic and Dragomir Saric)
Geometry of Teichmüller space with the Teichmüller metric (Howard Masur)
GIT constructions of moduli spaces of stable curves and maps (Ian Morrison)
Riemann surfaces, integrable hierarchies, and singularity theory (Yongbin Ruan)

About this title

About the Author

Lizhen Ji, University of Michigan, Ann Arbor, Scott A. Wolpert, University of Maryland, College Park, MD, and Shing-Tung Yau, Harvard University, Cambridge, MA

Edition details

• Publisher: International Press of Boston
• Publication date: 2010
• Language: English
• ISBN 10: 157146140X
• ISBN 13: 9781571461407
• Binding: Hardcover
• Number of pages: 418
• Editor: Lizhen Ji (University Of Michigan), Scott A. Wolpert (University Of Maryland), Shing-Tung Yau (Harvard University)