Algebraic Geometry seminar
Fall 2010---Reference: "Curves", Chapter IV in Hartshorne's
`Algebraic Geometry'
Schedule:
- 9/1: Organizational meeting
- 9/8: Xia Liao, Generalities on curves. Linear systems.
- 9/15: Xia Liao, Riemann-Roch and applications.
- 9/22: John George, Hurwitz's Theorem.
- 9/29: Ivan Dungan, Embeddings in projective space, I
- 10/6: Vivek Pal, Embeddings in projective space, II
- 10/13: John George, James Fullwood, Vivek Pal, Problem session
- 10/20: James Fullwood, Elliptic curves, I
- 10/27: James Fullwood, Elliptic curves, II
- 11/3: John George, Canonical Embedding, I
- 11/10: John George, Canonical Embedding, II
- 11/17: Dan Li, Classification of Curves in P^3
- 12/1: Xia Liao, Problem session
Spring 2011---Moduli of curves; algebraic surfaces
Reference: "Moduli of Curves", by J. Harris and I. Morrison. Schedule:
- 1/12: Organizational meeting
- 1/19: Xia Liao, Parameter spaces
- 1/26: Xia Liao, The Hilbert scheme
- 2/2: Dan Li, Tangent space to the Hilbert scheme.
- 2/9: Vivek Pal, Basics on moduli spaces of curves.
- 2/23: James Fullwood, The Deligne-Mumford compactification.
- 3/2: Ivan Dungan, Moduli spaces as stacks.
New topic: Algebraic surfaces. Schedule:
- 3/16: James Fullwood, Algebraic Surfaces, I.
- 3/23: James Fullwood, Algebraic Surfaces, II.
4/6: James Fullwood, Algebraic Surfaces, III.
- 4/13: Xia Liao. Algebraic Surfaces, IV.