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SUMMARY:Yuanan Diao (UNC Charlote -USA)
DTSTART:20240503T160000Z
DTEND:20240503T170000Z
DTSTAMP:20260423T022924Z
UID:GEOTOP-A/68
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GEOTOP-A/68/
 ">Braid index and Ropelength of alternating knots</a>\nby Yuanan Diao (UNC
  Charlote -USA) as part of GEOTOP-A seminar\n\n\nAbstract\nA long standing
  conjecture states that the ropelength of any alternating link is at least
  proportional to its crossing number. That is\, there exists a constant $b
 _0>0$ such that $R(K)\\ge b_0Cr(K)$ for any alternating link $K$\, where $
 R(K)$ is the ropelength of $K$ and $Cr(K)$ is the crossing number of $K$. 
 This conjecture has been recently proved affirmatively for the case of alt
 ernating knots. In this talk I will present the main results/ideas leading
  to the proof of this result\, where the braid index served as the key bri
 dge between the minimum crossing number and the ropelength of the knot.\n
LOCATION:https://researchseminars.org/talk/GEOTOP-A/68/
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