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Seminar

Geometry: Metric measure spaces with variable lower Ricci curvature bounds February 03, 2016 (11:00 AM PST - 12:00 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Christian Ketterer (Albert-Ludwigs-Universit├Ąt Freiburg)
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We introduce curvature-dimension conditions for metric measures spaces where the lower curvature bound is a lower semi-continuous function. The curvature-dimension conditions admit geometric and analytic consequences as a generalized Bonnet-Myers theorem or refined contraction estimates for entropy gradient flow curves. Moreover, there is stability w.r.t. (pointed) measured Gromov-(Hausdorff) convergence and suitable convergence of the curvature functions.

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