Arbeitsgruppe Lazić

Algebraic and Complex Geometry

Prof. Dr. Vladimir Lazić

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.
Prerequisites: knowledge of algebraic varieties and/or complex manifolds - one should have already heard courses in algebraic or differential geometry, additionally Funktionentheorie I or Komplexe Analysis.

There will be an oral exam at the end of the course.

Further reading

[1] Huybrechts, Complex geometry
[2] Voisin, Hodge theory
[3] Griffiths-Harris, Algebraic geometry
[4] Demailly, Complex analytic and differential geometry