Date | Topics Covered | Remarks |
Sept. 21, 23, 25 | Basic theory of holomorphic functions in several variables | |
Sept. 28, 30, Oct. 2 | Complex manifolds, analytic varieties | Homework 1 Due October 9 in class Solution |
Oct. 5, 7, 9 | Divisors, differential forms | Homework 2 Due October 16 in class Solution |
Oct. 12, 14, 16 | Vector bundles and sheaves | Homework 3 Due October 23 in class Solution |
Oct. 19, 21, 23 | Cohomology of sheaves and line bundles | Homework 4 Due October 30 in class Solution |
Oct. 26, 28, 30 | Chow's Theorem | Homework 5 Due November 6 in class Solution |
Nov. 2, 4, 6 | Kähler metrics | Homework 6 Due November 13 in class Solution |
Nov. 9, 11, 13 | Hodge theory | Homework 7 Due November 20 in class Solution |
Nov. 16, 18, 20 | Kodaira Vanishing Theorem | Homework 8 Due November 30 in class Solution |
Nov. 23, 25 | Kodaira Embedding Theorem | |
Nov. 30, Dec. 2 | Applications | |
Take-home final exam | Due at 11am on December 7 by email tosatti@math.northwestern.edu or in my mailbox in Lunt |