MATH751 KAHLER MANIFOLDS AND HODGE THEORY
Course Code: | 2360751 |
METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
ECTS Credit: | 8.0 |
Department: | Mathematics |
Language of Instruction: | English |
Level of Study: | Graduate |
Course Coordinator: | |
Offered Semester: | Fall or Spring Semesters. |
Course Objectives
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.