Mentor: Prof. Dr. Liedtke, Organizer: Gebhard Martin
Time and Place
Mondays 12:30 - 14:00 in 02.12.20
Coming from the algebraic point of view, we want to see the advantages of doing geometry with respect to the analytic topology over the complex numbers.
The first goal of the seminar is to learn from scratch the techniques used in Complex Geometry, such as Dolbeault Cohomology, Kähler Metrics, Hodge Theory, Chern Classes etc. Eventually, we want so see these techniques applied to complex curves and surfaces.
The second goal is to use the additional insight we get from doing Complex Geometry to gain a better understanding of the geometric concepts in the algebraic setting. This is reasonable, since many seemingly abstract ideas used in Algebraic Geometry stem from the more intuitive notions over the complex numbers.
P. Griffiths, J. Harris: Principles of Algebraic Geometry
D. Huybrechts: Complex Geometry