Lectures on Index Theorem

Professor Xiaonan Ma

Université Paris 7
International Faculty at the Universität zu Köln

The purpose of these lectures is to give a complete proof of the Atiyah-Singer index theorem. The Gauss-Bonnet-Chern theorem, the Hirzebruch signature theorem in differential geometry, and the Riemann-Roch-Hirzebruch theorem in algebraic geometry are special cases of the Atiyah-Singer index theorem.
The following topics will be covered: Chern-Weil Theory, Dirac Operators and examples, heat kernels, Local Index Theorem.
A manuscript will be available at the end of the lecture.


Tue 15.04, 2 pm, Seminarraum 1 des Mathematischen Instituts (Raum 005)
Thu 17.04, 10 am, Seminarraum 1
Tue 22.04, 10 am, Übungsraum 2 des Mathematischen Instituts, Gyrhofstr. 8a
Tue 22.04, 2 pm, Seminarraum 1
Thu 24.04, 10 am, Seminarraum 1
Tue 06.05, 10 am, Übungsraum 2
Tue 06.05, 2 pm, Seminarraum 1