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SUMMARY:Ivan Dynnikov (Steklov)
DTSTART:20201105T153000Z
DTEND:20201105T160000Z
DTSTAMP:20260423T003244Z
UID:GaTO/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/36/">An
  algorithm to compare Legendrian knots</a>\nby Ivan Dynnikov (Steklov) as 
 part of Geometry and topology online\n\n\nAbstract\n<p>\n        We have w
 orked out a general method to decide\n        whether two given Legendrian
  knots are Legendrian\n        equivalent. The method yields a formal algo
 rithmic solution to\n        the problem (with very high algorithmic compl
 exity) and\, in\n        certain circumstances\, allows one to distinguish
  Legendrian\n        knots practically\, including some cases in which the
 \n        computation of any known algebraic invariant except for the\n   
      two classical ones (Thurston--Bennequin's and Maslov's) is\n        i
 nfeasible. We use this\, in particular\, to provide an example\n        of
  an annulus embedded in the three-sphere and tangent to the\n        conta
 ct structure along the whole boundary\, such that the two\n        connect
 ed components of the boundary are not equivalent as\n        Legendrian kn
 ots.\n      </p>\n      <p>\n        The talk is based on joint works with
  Maxim Prasolov and Vladimir Shastin.\n      </p>\n
LOCATION:https://researchseminars.org/talk/GaTO/36/
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