Seminar on Kähler Geometry (Summer Semester 2019)
- Lecturer: Prof. Dr. Wilderich Tuschmann
- Classes: Seminar (0174650)
- Weekly hours: 2
| Schedule | ||
|---|---|---|
| Seminar: | Thursday 14:00-15:30 | SR 2.67 |
| Lecturers | ||
|---|---|---|
| Lecturer | Prof. Dr. Wilderich Tuschmann | |
| Office hours: by appointment - please contact me by email; | ||
| Room 1.002 Kollegiengebäude Mathematik (20.30) | ||
| Email: tuschmann@kit.edu | Lecturer | Dr. Jan-Bernhard Kordaß |
| Office hours: By appointment. | ||
| Room 1.021 Kollegiengebäude Mathematik (20.30) | ||
| Email: kordass@kit.edu | ||
The talks will be based on Part II and III in Moroianu's book [Mor07].
Participants are assumed to be familiar with basics in differential geometry as outlined in Part I (ibid.).
Talks:
- Introduction to complex differential geometry (25 April and 2 May)
- Complex, holomorphic and hermitian vector bundles (9 May)
- Geometry of Kähler metrics (16 May)
- Hodge- and Dolbeault theory (6 June)
- Chern classes and the Ricci Form (13 June)
- The Calabi-Yau theorem and Kähler-Einstein metrics (27 June)
- Geometric interpretations of Weitzenböck formulae (4 July)
- Kodaira's vanishing theorem and Ricci-flat metrics
- Examples of Calabi-Yau manifolds
References
- [GH94] Phillip Griffiths and Joseph Harris, Principles of algebraic geometry, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1994, Reprint of the 1978 original. MR 1288523
- [Huy05] Daniel Huybrechts, Complex geometry, Universitext, Springer-Verlag, Berlin, 2005, An introduction. MR 2093043
- [Mor07] Andrei Moroianu, Lectures on Kähler geometry, London Mathematical Society Student Texts, vol. 69, Cambridge University Press, Cambridge, 2007. MR 2325093