### Kolloquium Wilhelm Killing: Prof. Dr. Gérard Besson (Grenoble): Compactness results for non positively curved metric measured spaces

##### Thursday, 21.11.2019 16:30 im Raum M5

This is a joint work with G. Courtois, S. Gallot and A. Sambusetti. We will study some compact metric spaces satisfying weak versions of curvature assumptions. More precisely we will use two invariants : entropy (growth of the measure of balls in the universal cover) and the diameter to describe a compactness result for a class of compact metric spaces. The class consists in spaces satisfying curvature assumptions that can be defined only with triangles comparison such as CAT(0)-spaces or $\delta$-hyperbolic spaces in the sense of Gromov. A key ingredient is a variant of a celebrated inequality relating volumes of balls of different radii centred at the same point and called the Bishop-Gromov inequality. The talk is intended to be elementary, for non experts and all notions should be defined.

Angelegt am Friday, 11.10.2019 09:28 von Sandra Huppert

Geändert am Thursday, 19.03.2020 16:17 von Victoria Liesche

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Kolloquium Wilhelm Killing

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