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SUMMARY:Davide Vittone (Padova)
DTSTART:20201211T150000Z
DTEND:20201211T160000Z
DTSTAMP:20260404T143400Z
UID:SRS/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/SRS/3
 /">Differentiability of intrinsic Lipschitz graphs in Carnot groups</a>\nb
 y Davide Vittone (Padova) as part of Sub-Riemannian Seminars\n\n\nAbstract
 \nSubmanifolds with intrinsic Lipschitz regularity in sub-Riemannian\nCarn
 ot groups can be introduced using the theory of intrinsic\nLipschitz graph
 s started by B. Franchi\, R. Serapioni and F. Serra\nCassano almost 15 yea
 rs ago. One of the main related questions\nconcerns a Rademacher-type theo
 rem (i.e.\, existence of a tangent\nplane) for such graphs: in this talk I
  will discuss a recent positive\nsolution to the problem in Heisenberg gro
 ups. The proof uses currents\nin Heisenberg groups (in particular\, a vers
 ion of the celebrated\nConstancy Theorem) and a number of complementary re
 sults such as\nextension and smooth approximation theorems for intrinsic L
 ipschitz\ngraphs. I will also show a recent example (joint with A. Julia a
 nd S.\nNicolussi Golo) of an intrinsic Lipschitz graph in a Carnot group t
 hat\nis nowhere intrinsically differentiable.\n
LOCATION:https://stable.researchseminars.org/talk/SRS/3/
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