Monday, November 16, 2015 - 12:00 to 12:50

Thack 427

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I will introduce metric currents, an important generalization of manifolds that forms a compact space (roughly speaking). We will develop the theory of currents following Lang's paper, and then we will look at an interesting application: Zust proved that sufficiently regular maps from the plane into the Heisenberg Group factor through a tree. In particular, this solves the non-embedding problem for this class of maps.