# GAMP seminar by Matthias Ludewig

Geometric Analysis & Mathematical Physics Seminar

Speaker: Matthias Ludewig (MPI, Bonn).

Title:
Supersymmetric path integrals: Integrating differential forms on the loop space.

Abstract: We construct an integral map for differential forms on the loop space of Riemannian spin manifolds. For example, Bismut-Chern character forms are integrable with respect to this map, with their integrals given by indices of Dirac operators. This provides a rigorous background for supersymmetry proofs of the Atiyah-Singer Index theorem.