The Atiyah-Singer index theorem is arguably one of the most important mathematical achievements of the last century. It establishes a deep relation between differential operators on manifolds and the topology of the underlying vector bundles/manifold. The aim of this course is to present the heat kernel proof, due to Getzler, of the Atiyah-Singer index theorem. Much of the course will be devoted to cover the necessary analytical, geometrical and topological background.
- Kursleiter/in: Roberto Ladu
Semester: WiSe 2025/26