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SUMMARY:Enrico Le Donne (University of Pisa & University of Jyväskylä)
DTSTART:20200417T150000Z
DTEND:20200417T160000Z
DTSTAMP:20260423T021650Z
UID:ISRS/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ISRS/1/">Mat
 hematical appearances of sub-Riemannian geometries</a>\nby Enrico Le Donne
  (University of Pisa & University of Jyväskylä) as part of International
  sub-Riemannian seminar\n\n\nAbstract\nSub-Riemannian geometries are a gen
 eralization of Riemannian\ngeometries. Roughly speaking\, in order to meas
 ure distances in a\nsub-Riemannian manifold\, one is allowed to only measu
 re distances\nalong curves that are tangent to some subspace of the tangen
 t space.\n\nThese geometries arise in many areas of pure  and applied  mat
 hematics\n(such as algebra\, geometry\, analysis\, mechanics\, control the
 ory\,\nmathematical\nphysics\, theoretical computer science)\, as well as 
 in applications\n(e.g.\, robotics\, vision).\n This talk introduces sub-Ri
 emannian geometry from the metric\nviewpoint and focus on a few classical 
 situations in pure mathematics\nwhere sub-Riemannian geometries appear. Fo
 r example\, we shall discuss\nboundaries of rank-one symmetric spaces and 
 asymptotic cones of\nnilpotent groups.\nThe goal is to present several met
 ric characterizations of\nsub-Riemannian geometries so to give an explanat
 ion of their natural\nmanifestation.\n We first give a characterization of
  Carnot groups\, which are very\nspecial sub-Riemannian geometries.\n We e
 xtend the result to self-similar metric Lie groups (in\ncollaboration with
  Cowling\, Kivioja\, Nicolussi Golo\, and Ottazzi).\n We then present some
  recent results characterizing boundaries of\nrank-one symmetric spaces (i
 n collaboration with Freeman).\n
LOCATION:https://researchseminars.org/talk/ISRS/1/
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