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ERC School on Analysis in Metric Spaces and Geometric Measure Theory

Currents and Differential Forms in Metric Spaces

speaker: Colin Carroll (Rice University)

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.

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