Analytic methods in algebraic geometry, Wintersemester 2017/18
Fridays 12.30-14.00 in SR 2 (Gebäude E2 5)The intended audience are motivated Master students and above.
This is a course on analytic methods in algebraic geometry. In particular, I will aim to cover most of the following:
- Kähler manifolds, Hodge theory
- vanishing and injectivity theorems (Kodaira, Kawamata-Viehweg, Esnault-Viehweg-Ambro)
- currents, Lelong numbers, multiplier ideals, applications.
There will be an oral exam at the end of the course.
|||Huybrechts, Complex geometry|
|||Voisin, Hodge theory|
|||Griffiths-Harris, Algebraic geometry|
|||Demailly, Complex analytic and differential geometry|