CRM: Centro De Giorgi
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Sub-riemannian geometry and beyond, III

Quantitative rectifiability and surfaces in Heisenberg groups

speaker: Robert Young (New York University)

abstract: Intrinsic Lipschitz graphs play an important role in geometric measure theory in the Heisenberg group and other Carnot groups. Recent work has demonstrated how the shape of intrinsic Lipschitz graphs in the $2n+1$-dimensional Heisenberg group $Hn$ depends on $n$. In this talk, we will describe some techniques for visualizing, constructing, and analyzing intrinsic Lipschitz graphs, explain how the quantitative rectifiability of graphs in $Hn$ depends on $n$, and see how this affects geometry and analysis in $Hn$. Parts of this talk are joint with Naor and Chousionis-Li.

Wed 21 Jun, 16:30 - 17:30, Aula Dini
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