MATH751 KAHLER MANIFOLDS AND HODGE THEORY
| Course Code: |
2360751 |
| METU Credit (Theoretical-Laboratory hours/week): |
3(3-0) |
| ECTS Credit: |
8.0 |
| Department: |
Mathematics |
| Language of Instruction: |
English |
| Level of Study: |
Graduate |
| Course Coordinator: |
|
| Offered Semester: |
Fall or Spring Semesters. |
Course Content
Brief review of complex manifolds, holomorphic vector bundles, connections, Chern classes. Harmonic forms, elliptic differential operators, main existence and uniqueness results. Harmonic forms applied to Kahler manifolds: Hodge decomposition, Lefschetz decomposition, Hodge Index Theorem. Applications to the topology of algebraic varieties.
