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SUMMARY:Rima Chatterjee (University of Cologne\, Germany)
DTSTART:20211208T163000Z
DTEND:20211208T170500Z
DTSTAMP:20260422T225922Z
UID:GTWorkshopTurkeyIV/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GTWorkshopTu
 rkeyIV/1/">Cabling of knots in overtwisted contact manifolds</a>\nby Rima 
 Chatterjee (University of Cologne\, Germany) as part of Geometry & Topolog
 y Workshop Turkey IV\n\n\nAbstract\nKnots associated to overtwisted manifo
 lds are less explored. There are two types of knots in an overtwisted mani
 fold - loose and non-loose. Non-loose knots are knots with tight complemen
 ts where as loose knots have overtwisted complements. While we understand 
 loose knots\, non-loose knots remain a mystery. The classification and str
 ucture problems of these knots vary greatly compared to the knots in tight
  manifolds. Especially we are interested in how satellite operations on a 
 knot in overtwisted manifold changes the geometric property of the knot. I
 n this talk\, I will discuss under what conditions cabling operation on a 
 non-loose knot preserves non-looseness. This is a joint work with Etnyre\,
  Min and Mukherjee.\n
LOCATION:https://researchseminars.org/talk/GTWorkshopTurkeyIV/1/
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SUMMARY:Hyunki Min (Massachusetts Institute of Technology\, United States)
DTSTART:20211208T171500Z
DTEND:20211208T175000Z
DTSTAMP:20260422T225922Z
UID:GTWorkshopTurkeyIV/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GTWorkshopTu
 rkeyIV/2/">Non-loose torus knots</a>\nby Hyunki Min (Massachusetts Institu
 te of Technology\, United States) as part of Geometry & Topology Workshop 
 Turkey IV\n\n\nAbstract\nOne of the interesting problems in 3-dimensional 
 contact geometry is to classify Legendrian knots and study their various p
 roperties since they have several applications such as an interaction with
  Heegaard Floer homology\, a rich source of producing new contact manifold
 s\, etc. There has been several attempts to classify Legendrian knots in c
 ontact 3-spheres. For example\, Eliashberg and Fraser classified Legendria
 n unknots in every contact 3-spheres\, Entyre and Honda classified Legendr
 ian torus knots in the standard 3-sphere\, and Geiges and Onaran classifie
 d Legendrian left-handed trefoil in overtwisted contact 3-spheres. In this
  talk\, we will classify Legendrian torus knots in overtwisted 3-spheres. 
 This is a joint work with John Entyre and Anubhav Mukherjee.\n
LOCATION:https://researchseminars.org/talk/GTWorkshopTurkeyIV/2/
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