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Seminários do IMPA

Geometria Diferencial

Título
Min-max width and volume
Expositor
Lucas Ambrozio

IAS
Data
Terça-feira, 13 de agosto de 2019, 15:30
Local
Sala 236
Resumo
In this talk, we will explain in details a joint work with Rafael Montezuma about the relations between the volume of Riemannian manifolds and their min-max invariants. We will discuss a sharp "diastolic inequality"; for conformally flat metrics with positive Ricci on the three-sphere, and a few properties of the metrics that maximise the width among metrics in a given conformal class that have unit volume. In particular, we will explain why these metrics have an equidistributed sequence of minimal hypersurfaces of controlled index and area.