Moduli of Curves
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Instructor: Y.-P. Lee, JWB 305.
Office Hours:
Any time my office door is open.
Class lecture time: MWF 14-14:50. Tue 10:45-11:35.
Classroom: JWB 308 (MWF) and LCB 222 (Tue).
Course Website: http://www.math.utah.edu/~yplee/teaching/moduli/
Text: Various books and papers will be used, including Geometry of Algebraic Curves II by Arbarello--Cornalba--Griffiths--Harris (not yet published) and Moduli of Curves by Harris--Morrison.
Subject: MATH.
Catalogue Number: 7800.
Official Course Number: 8422.
Course Description:
I will try to cover as many topics as possible from the following list:
- Hilbert schemes
- Nodal curves
- Deformation theory
- Moduli spaces of curves
- Projectivity of moduli spaces
- Line bundles on moduli spaces
- The Teichmüller point of view
- Smooth Galois covers of moduli spaces
- Cycles on the moduli space of stable curves
- Cellular decomposition of moduli spaces (via hyperbolic geometry)
- First consequence of the cellular decompostion
- Intersection theory of tautological classes
- The Hurwitz scheme
Exams: No exam.
Grading Policy: In accordance with the departmental tradition, A is
given to all registered students.
Announcements: (in reverse chronological order)
- The class time change: Tuesday class time has been moved to 10:45-11:35, in Room LCB 222.
- The class ends on 17th Nov! (The last class will be on 16th Nov.)
