# Marc Herzlich: "Universal'' positive mass theorems

**Time: **
Thu 2019-10-17 10.00 - 11.00

**Location: **
Seminar Hall Kuskvillan, Institut Mittag-Leffler

**Participating: **
Marc Herzlich, Université de Montpellier

### Abstract

We revisit Witten's proof of the positive mass theorem in a very general setting where the spinor bundle and the Dirac operator are replaced by any choice of an irreducible natural bundle and a very large choice of first-order operators. As an application, we show that it may lead to a positive mass theorem along the same lines if the necessary curvature conditions are satisfied.