Geometric Analysis and Topology Seminar

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The Structure of Currents in R^n and in Metric Spaces

Speaker: Andrea Schioppa, ETH

Location: Warren Weaver Hall 1314

Date: Wednesday, November 16, 2016, 11 a.m.

Synopsis:

I will talk about recent progress in understanding the structure of normal currents in Euclidean spaces and of Ambrosio-Kirchheim metric currents in general metric spaces. In particular, I will focus on the solution of the following question of Giovanni Alberti: Can a k-dimensional normal current be represented as an integral of k-rectifiable currents?