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SUMMARY:John Maddocks (EPF Lausanne)
DTSTART:20201124T180000Z
DTEND:20201124T190000Z
DTSTAMP:20260423T021014Z
UID:OSGA/31
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/31/">Id
 eal knots: The trefoil\, analysis and numerics to experiment</a>\nby John 
 Maddocks (EPF Lausanne) as part of Online Seminar "Geometric Analysis"\n\n
 \nAbstract\nGeometrical knot theory is an area of mathematics that has bee
 n growing in\nactivity over the last few decades. It involves the study of
  specific shapes\nof knotted curves\, rather than their topology\, where t
 he specific knot shape\nis fixed by some criterion\, typically minimizing 
 some form of knot energy.\nIn this talk I will introduce some older work o
 f both my collaborators and\nI\, as well as others\, on  the specific cas
 e of ideal\, or tightest\, knot\nshapes. I will start by explaining the an
 alytical difficulties\, along with\nsome associated theorems. Then I will 
 describe some numerical results\nconcentrating on the specific case of the
  ideal trefoil. And finally I will\ndescribe some very recent experimental
  results for the ideal trefoil\nobtained by the group of Pedro Reis at the
  EPFL.\n
LOCATION:https://researchseminars.org/talk/OSGA/31/
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