De Robert Young
(joint work with Assaf Naor) The Heisenberg group $\mathbb{H}$ is a sub-Riemannian manifold that is unusually difficult to embed in $\mathbb{R}^n$. 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 $\mathbb{H}$, 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 $\mathbb{H}$, and estimate the accuracy of an approximate algorithm for the Sparsest Cut Problem.
De Thomas Richard
De Thomas Richard
De Thomas Richard
De Thomas Richard
De Thomas Richard
De Feng Luo
De Feng Luo
De Feng Luo
De Feng Luo
De Feng Luo
De Feng Luo
De Robert Young
De Ketover Daniel
De Vladimir Markovic
De Melanie Rupflin
De Greg Mcshane
De Jean-Marc Schlenker
