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SUMMARY:Itamar Rosenfeld Rauch (Technion\, Haifa)
DTSTART:20210609T111000Z
DTEND:20210609T123000Z
DTSTAMP:20260423T024538Z
UID:GDS/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDS/36/">On 
 the Hofer Girth of the Sphere of Great Circles</a>\nby Itamar Rosenfeld Ra
 uch (Technion\, Haifa) as part of Geometry and Dynamics seminar\n\n\nAbstr
 act\nAn equator of $S^2$ is an embedded circle that divides the sphere int
 o two \nequal area discs. Chekanov introduced a distance function on the s
 pace of \nequators\, induced by the Hofer norm. We define the Hofer girth 
 of this \nspace\, roughly speaking\, as the smallest diameter of a non-con
 tractible \nsphere in this space\, as inspired by the classic metric invar
 iant of systoles. \nA somewhat natural embedding of $S^2$ in the space of 
 equators sends each \npoint to the great circle perpendicular to it\; this
  embedding is called the \nsphere of great circles.\nIn this talk we will 
 discuss a few properties of Hofer girth\, and show that \nthe diameter of 
 the sphere of great circles is not optimal\, by constructing \na strictly 
 better candidate.\n
LOCATION:https://researchseminars.org/talk/GDS/36/
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