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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


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.