前辅文
 Benson Farb, Richard Hain, and Eduard Looijenga Introduction
 Yair N. Minsky A Brief Introduction to Mapping Class Groups
  1. Definitions, examples, basic structure
  2. Hyperbolic geometry, laminations and foliations
  3. The Nielsen-Thurston classification theorem
  4. Classification continued, and consequences
  5. Further reading and current events
  Bibliography
 Ursula Hamenst¨adt Teichm¨uller Theory
  Introduction
  Lecture 1. Hyperbolic surfaces
  Lecture 2. Quasiconformal maps
  Lecture 3. Complex structures, Jacobians and the Weil Petersson form
  Lecture 4. The curve graph and the augmented Teichm¨uller space
  Lecture 5. Geometry and dynamics of moduli space
  Bibliography
 Nathalie Wahl The Mumford Conjecture, Madsen-Weiss and Homological Stability for Mapping Class Groups of Surfaces
  Introduction
  Lecture 1. The Mumford conjecture and the Madsen-Weiss theorem
   1. The Mumford conjecture
   2. Moduli space, mapping class groups and diffeomorphism groups
   3. The Mumford-Morita-Miller classes
   4. Homological stability
   5. The Madsen-Weiss theorem
   6. Exercises
  Lecture 2. Homological stability: geometric ingredients
   1. General strategy of proof
   2. The case of the mapping class group of surfaces
   3. The ordered arc complex
   4. Curve complexes and disc spaces
   5. Exercises
  Lecture 3. Homological stability: the spectral sequence argument
   1. Double complexes associated to actions on simplicial complexes
   2. The spectral sequence associated to the horizontal filtration
   3. The spectral sequence associated to the vertical filtration
   4. The proof of stability for surfaces with boundaries
   5. Closing the boundaries
   6. Exercises
  Lecture 4. Homological stability: the connectivity argument
   1. Strategy for computing the connectivity of the ordered arc complex
   2. Contractibility of the full arc complex
   3. Deducing connectivity of smaller complexes
   4. Exercises
   Bibliography
 Soren Galatius Lectures on the Madsen–Weiss Theorem
  Lecture 1. Spaces of submanifolds and the Madsen–Weiss Theorem
   1.1. Spaces of manifolds
   1.2. Exercises for Lecture 1
  Lecture 2. Rational cohomology and outline of proof
   2.1. Cohomology of Ω∞Ψ
   2.2. Outline of proof
   2.3. Exercises for Lecture 2
  Lecture 3. Topological monoids and the first part of the proof
   3.1. Topological monoids
   3.2. Exercises for Lecture 3
  Lecture 4. Final step of the proof
   4.1. Proof of theorem 4.3
   4.2. Exercises for Lecture 4
  Bibliography
 Andrew Putman The Torelli Group and Congruence Subgroups of the Mapping Class Group
  Introduction
  Lecture 1. The Torelli group
  Lecture 2. The Johnson homomorphism
  Lecture 3. The abelianization of Modg,n(p)
  Lecture 4. The second rational homology group of Modg(p)
  Bibliography
 Carel Faber Tautological Algebras of Moduli Spaces of Curves
  Introduction
  Lecture 1. The tautological ring of Mg
   Exercises
  Lecture 2. The tautological rings of Mg,n and of some natural partial compactifications of Mg,n
   Exercises
  Bibliography
 Scott A. Wolpert Mirzakhani’s Volume Recursion and Approach for the Witten-Kontsevich Theorem on Moduli Tautological Intersection Numbers
  Prelude
  Lecture 1. The background and overview
  Lecture 2. The McShane-Mirzakhani identity
  Lecture 3. The covolume formula and recursion
  Lecture 4. Symplectic reduction, principal S1 bundles and the normal form
  Lecture 5. The pattern of intersection numbers and Witten-Kontsevich
  Questions for the problem sessions
  Bibliography
 Martin M¨oller Teichm¨uller Curves, Mainly from the Viewpoint of Algebraic Geometry
  1. Introduction
  2. Flat surfaces and SL2(R)-action
   2.1. Flat surfaces and translation structures
   2.2. Affine groups and the trace field
   2.3. Strata of ΩMg and hyperelliptic loci
   2.4. Spin structures and connected components of strata
   2.5. Stable differentials and Deligne-Mumford compactification
  3. Curves and divisors in Mg
   3.1. Curves and fibered surfaces
   3.2. Picard groups of moduli spaces
   3.3. Special divisors on moduli spaces
   3.4. Slopes of divisors and of curves in Mg
  4. Variation of Hodge structures and real multiplication
   4.1. Hilbert modular varieties and the locus of real multiplication
   4.2. Examples
  5. Teichm¨uller curves
   5.1. Square-tiled surfaces and primitivity
   5.2. The VHS of T curves
   5.3. Proof of the VHS decomposition and real multiplication
   5.4. Cusps and sections of T curves
   5.5. The classification problem of T curves: state of the art
  6. Lyapunov exponents
   6.1. Motivation: Asymptotic cycles, deviations and the wind-tree model
   6.2. Lyapunov exponents
   6.3. Lyapunov exponents for Teichm¨uller curves
   6.4. Non-varying properties for sums of Lyapunov exponents
   6.5. Lyapunov exponents for general curves in Mg and in Ag
   6.6. Known results and open problems
  Bibliography
 Makoto Matsumoto Introduction to arithmetic mapping class groups
  Introduction
  Lecture 1. Algebraic fundamental groups
  Lecture 2. Monodromy representation on fundamental groups
  Lecture 3. Arithmetic mapping class groups
  Lecture 4. Topology versus arithmetic
  Lecture 5. The conjectures of Oda and Deligne-Ihara
  APPENDIX: Algebraic fundamental groups via fiber functors
  Bibliography