| Date |
Topic |
Read |
Problem Set |
| 8/27, Tu | Functions of one complex variable |
pp1-5 | #1 |
| 8/29, Th | Functions of several complex variables |
pp6-9 |
| 9/3, Tu | Analytic varieties | pp9-14 |
| 9/5, Th | Complex manifolds | pp14-20 |
| 9/10, Tu | Dolbeault cohomology |
pp23-27 |
#2 |
| 9/12, Th | Analytic subvarities and integration |
pp12-14,27-34 |
| 9/17, Tu | Sheaves | pp34-38 |
| 9/19, Th | Sheaf cohomology | pp38-49 |
| 9/24, Tu | Review/overview of algebraic topology |
pp49-60 |
#3 |
| 9/26, Th | Intersections of cycles in manifolds |
| 10/1, Tu | Intersections of analytic cycles |
pp60-67 |
| 10/3, Th | Hermitian vector bundles | pp67-80 |
| 10/8, Tu | Hodge Theorem and applications |
pp80-84,100-106 |
#4 |
| 10/10, Th |
Elliptic operators on compact manifolds | |
| 10/17, Th | Fourier series and applications |
pp84-91 |
| 10/22, Tu | Proof of elliptic regularity |
pp92-100 |
| 10/24, Th |
| 10/31, Th |
| 11/5, Th | Kahler manifolds and Hodge identities |
pp106-115 |
#5 |
| 11/7, Tu | Hodge and Lefschetz decompositions |
pp116-126 |
| 11/12, Tu | Line bundles and divisors |
pp128-136 |
#6 |
| 11/14, Th | Adjunction formulas, first chern class |
pp136-148 |
| 11/19, Tu | Vanishing theorems |
pp148-156,159-161 |
| 11/21, Th | Symplectic Topology Seminar in Math 5-127 |
| 11/26, Tu | Some applications |
pp156-159,161-164 | #7 |
| 12/3, Tu | Maps to projective spaces |
pp176-182 |
| 12/5, Th | Blowups | pp182-189 |