This is a not very detailed record on what happened in each course meeting. There should be course recordings in 北大教学网.

  • Sep 07: Moduli of smooth curves, universal property. [Zv Section 1.1-1.2]

  • Sep 14: Orbifolds, intersection theory on orbifolds, and the construction of the moduli of smooth curves. [Zv Section 1.3]

  • Sep 16: Intersection theory on orbifolds. AI-generated notes

  • Sep 21: Deformation of complex structures, and the local orbifold chart used in the the construction of the moduli of smooth curves. [HM 3.B]

  • Sep 28: Attaching and forgetful maps. Dual graph. Boundary stratum. [Zv Section 2.1] AI-generated notes

  • Oct 12: Tautological rings, Hodge bundle and tautological line bundles, comparison lemma. [Zv Section 2.1-2.2]

References

  • [HM] Harris-Morrison, Moduli of Curves
  • [ACG] Arbarello-Cornalba-Griffiths, Geometry of Algebraic Curves, vol 2
  • [Zv] Zvonkine, An introduction to moduli spaces of curves and their intersection theory