Matthias Ludewig, Florian Hanisch
The seminar will have two parts,
Matthias Ludewig: Finite dimensional approximation of path integrals (continuation).
Florian Hanisch: Supersymmetry and the Duistermaat-Heckman formula.
Witten's heuristic proof of the index theorem using supergeometry is well known but still not fully mathematically understood. We present the approaches to the subject by Witten, Atiyah and Lott (and maybe others) and our understanding of these. This is work in progress!