TU Berlin Fakultät II
Institut für Mathematik
     

Complex Analysis II

       

  

Geometry Group

Members

Projects


Lehre
Verlaufspläne:
  Bachelor
  Diplom
Vergangene Semester

Seminare

Images, Videos, and Games

Virtual Math Labs

Software

Contact



      

Complex Analysis II (Winter 2019)

Lecture Felix Knöppel Friday 12 - 16 MA 376
Tutorial Wednesday 16 - 18

News

  • Exams are offered at July 23/24 from 12-14 pm. The exams will take place in MA 874/875. For appointments please contact Beate Niessen.

Contents

(almost) complex structures, Riemann surfaces, complex vector bundles, Poincare-Hopf index theorem, holomorphic structures, classification of line bundles, Riemann-Roch theorem


Exercise Sheets


Homework policy

  • To get a certificate for the tutorial you need to obtain an average grade of 50% on the homework assignments.

Literature

There are lecture notes:

Here are some other lecture notes and recommendations:

  • Franz Pedit, C-seminar, Lecture Notes
  • Oliver Knill, A short introduction to several complex variables, 1996
  • S. Donaldson, Riemann Surfaces, Oxford graduate texts in Mathematics 22, 2011. Here is an older version as pdf
  • Alexander I. Bobenko, Lecture Notes
  • For the first part of the course. Here are lecture notes from Differential geometry II. Ulrich. Pinkall, Analysis and geometry on manifolds
  • Werner Ballmann, Lectures on Kähler manifolds, ESI Lectures in Mathematics and Physics, European Mathematical Society, 2006

Felix Knoeppel . 29.06.2020.