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| This talk will be a gentle introduction to some recent developments in the analysis on fractals, in particular to aspects of vector analysis and differential geometry. Based on a given energy form (or, equivalently, a given diffusion process) one can develop derivations, vector fields, tangent spaces and so on. We will provide some applications to PDE and explain some of our most recent results. Parts of the presented material are joint with Daniel Kelleher, Michael Roeckner, Luke Rogers and Alexander Teplyaev. |
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