Math 722 — Topics in Complex Analysis:

Complex Manifolds

Fall 2002

Instructor: John Hubbard

Time: TR 11:40-12:55

Room: Malott 205

 

Topics to be covered:

  1. Generalities
  2. Sheaf Cohomology
  3. Chern Classes
  4. Hodge Theory
  5. Riemann-Roch
  6. Deformations (Kuranishi's theorem)

Suggested text: Complex Manifolds without Potential Theory - S. S. Chern