Quantitative rectifiability and differentiation in the Heisenberg group


Robert Young



Thursday, November 3, 2016


Talk at 4:30 p.m. in 2-190

Tea at 4:00 p.m in 2-290


Abstract: (joint work with Assaf Naor) The Heisenberg group H is a sub-Riemannian manifold that is hard to embed in R^n. Cheeger and Kleiner introduced a new notion of differentiation that they used to show that it does not embed nicely into L_1. This notion is based on surfaces in H, and in this talk, we will describe new techniques that let us quantify the "roughness" of such surfaces, find sharp bounds on the distortion of embeddings of H, and estimate the accuracy of an approximate algorithm for the Sparsest Cut Problem.

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Posted: October 29, 2016    URL: