Decomposition of one-dimensional currents

Emanuele Paolini

(Dip. di Matematica, Università di Firenze)

Event: ERC Workshop on Geometric Measure Theory, Analysis in Metric Spaces and Real Analysis

Date: Oct 11, 2013, time: 09:00

Abstract. We will see how every one-dimensional normal current can be written as an integral over rectifiable curves and solenoids. The result, proven in the euclidean setting by Stanislav Smirnov is extended, with a new proof, to metric currents.

This is a joint work with Eugene Stepanov.