MAT 545: Complex Geometry
Stony Brook Fall 2008 |
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The last office hours for the semester are Monday, 12/15, 5-7 in 3-111 and Tuesday, 12/16, 9-10 in P-143. While this is after the class is over and the last problem set is due, you are very much encouraged to stop by with any questions you might have.
Name:
Aleksey Zinger
E-mail: azinger@math
Phone: 432-8618
Office: Math Tower 3-111
Office Hours: Tu 5-7 in 3-111, W 9-10 in P-143
Date | Topic | Read | Problem Set |
9/2, Tu | Functions of one complex variable | pp1-5 | #1 |
9/4, Th | Functions of several complex variables | pp6-9 | |
9/9, Tu | Analytic varieties | pp9-14 | |
9/11, Th | Complex manifolds | pp14-20 | |
9/16, Tu | Dolbeault cohomology | pp23-27 | #2 |
9/18, Th | Analytic subvarities and integration | pp12-14,27-34 | |
9/23, Tu | Sheaves | pp34-38 | |
9/25, Th | Sheaf cohomology | pp38-49 | |
9/30, Tu | no class | ||
10/2, Th | Review/overview of algebraic topology | pp49-60 | #3 |
10/7, Tu | Intersections of cycles in manifolds | ||
10/9, Th | no class | ||
10/14, Tu | Intersections of analytic cycles | pp60-67 | |
10/16, Th | Hermitian vector bundles | pp67-80 | |
10/21, Tu | Hodge Theorem and applications | pp80-84,100-106 | #4 |
10/23, Th | Elliptic operators on compact manifolds | ||
10/28, Tu | Fourier series and applications | pp84-91 | |
10/30, Th | Proof of elliptic regularity | pp92-100 | |
11/4, Tu | |||
11/6, Th | Kahler manifolds and Hodge identities | pp106-115 | #5 |
11/11, Tu | Hodge and Lefschetz decompositions | pp116-126 | |
11/13, Th | Line bundles and divisors | pp128-136 | #6 |
11/18, Tu | Adjunction formulas, first chern class | pp136-148 | |
11/20, Th | Vanishing theorems | pp148-156,159-161 | |
11/25, Tu | Some applications | pp156-159,161-164 | |
11/27, Th | no class | ||
12/2, Tu | Maps to projective spaces | pp176-182 | #7 |
12/4, Th | Blowups | pp182-189 | |
12/9, Tu | Kodaira Embedding Theorem | pp189-192 | |
12/11, Th | no class | ||
12/15, Mo | Algebraic varieties | pp164-176 |