# Klaus Kröncke: Stability of ALE Ricci-flat manifolds under Ricci flow

Time: Thu 2019-09-12 11.00 - 12.00

Lecturer: Klaus Kröncke - Universität Hamburg

Location: Seminar Hall Kuskvillan, Institut Mittag-Leffler

### Abstract

We prove that if an ALE Ricci-flat manifold $$(M,g)$$ is linearly stable and integrable, it is ($$L^2-$$)dynamically stable under Ricci flow, i.e. any Ricci flow starting ($$L^2\cap L^{\infty}-$$)close to g exists for all time and converges modulo diffeomorphism to an ALE Ricci-flat metric close to g. This is joint work with Alix Deruelle.

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Last changed: Sep 11, 2019