Seminar
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| Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
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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