Abstract: We review characterization of lower Ricci curvature bounds. Of particular interest for us are characterization which generalize to nonsmooth spaces. We further investigate in Ricci bounds, i.e. we combine lower with upper curvature bounds.

Brief bibliography: Eva Kopfer is currently a research associate at Bonn University. She obtained her Ph.D. at Bonn University in 2017 under the supervision of Karl-Theodor Sturm. Her research focuses on evolution equations and optimal transport as well as stochastic analysis.

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