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Line integrals of one-forms on the Sierpinski gasket

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If you have a question about this talk, please contact Mustapha Amrani.

Analysis on Graphs and its Applications

We give a definition of one-forms on the gasket and of their line integrals, and show that these are compatible with the notion of energy introduced by Kigami. We then introduce a suitable covering of the gasket (which is a projective limit of a sequence of natural finite coverings) and prove that n-exact forms have a primitive which lives on this covering.

This talk is part of the Isaac Newton Institute Seminar Series series.

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