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SUMMARY:Davide Vittone (Padova)
DTSTART:20201211T150000Z
DTEND:20201211T160000Z
DTSTAMP:20260423T035611Z
UID:SRS/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SRS/3/">Diff
 erentiability of intrinsic Lipschitz graphs in Carnot groups</a>\nby David
 e Vittone (Padova) as part of Sub-Riemannian Seminars\n\n\nAbstract\nSubma
 nifolds with intrinsic Lipschitz regularity in sub-Riemannian\nCarnot grou
 ps can be introduced using the theory of intrinsic\nLipschitz graphs start
 ed by B. Franchi\, R. Serapioni and F. Serra\nCassano almost 15 years ago.
  One of the main related questions\nconcerns a Rademacher-type theorem (i.
 e.\, existence of a tangent\nplane) for such graphs: in this talk I will d
 iscuss a recent positive\nsolution to the problem in Heisenberg groups. Th
 e proof uses currents\nin Heisenberg groups (in particular\, a version of 
 the celebrated\nConstancy Theorem) and a number of complementary results s
 uch as\nextension and smooth approximation theorems for intrinsic Lipschit
 z\ngraphs. I will also show a recent example (joint with A. Julia and S.\n
 Nicolussi Golo) of an intrinsic Lipschitz graph in a Carnot group that\nis
  nowhere intrinsically differentiable.\n
LOCATION:https://researchseminars.org/talk/SRS/3/
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