Surveys in Differential Geometry, Vol. 14 (2009): Geometry of Riemann surfaces and their moduli spaces by [various] (PDF)

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Lectures from the 2009 JDG conference. Table of ContentsDivisors 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)

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