**abstract:**
In their 2000 paper, Ambrosio and Kirchheim generalize the currents
of Federer and Fleming to the setting of metric spaces. They replace the
notion of a differential form with an n-tuple of Lipschitz maps, and define a
metric current as a real-valued map on these n-tuples with certain properties.
I will discuss some properties of these metric currents, as well as explore the possibility of defining metric differential forms directly, so that metric currents may be defined as a proper dual space.

Thu 13 Jan, 15:50 - 16:20, Aula Dini

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