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SUMMARY:Yuri Sachkov
DTSTART:20210414T162000Z
DTEND:20210414T180000Z
DTSTAMP:20260423T041010Z
UID:GDEq/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/37/">Su
 b-Riemannian geometry on the group of motions of the plane</a>\nby Yuri Sa
 chkov as part of Geometry of differential equations seminar\n\n\nAbstract\
 nWe will discuss the unique\, up to local isometries\, contact sub-Riemann
 ian struc\nture on the group SE(2) of proper motions of the plane (aka gro
 up of rototransla\ntions).\nThe following questions will be addressed:\n<o
 l style="list-style-type: '-'">\n  <li>&nbsp\; geodesics\,</li>\n  <li>&nb
 sp\; their local and global optimality\,</li>\n  <li>&nbsp\; cut time\, cu
 t locus\, and spheres\,</li>\n  <li>&nbsp\; infinite geodesics\,</li>\n  <
 li>&nbsp\; bicycle transform and relation of geodesics with Euler elastica
 e\,</li>\n  <li>&nbsp\; group of isometries and homogeneous geodesics\,</l
 i>\n  <li>&nbsp\; applications to imaging and robotics.</li>\n</ol>\nJoint
  work with Andrei Ardentov.\n
LOCATION:https://researchseminars.org/talk/GDEq/37/
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