[K-OS] Knot Online Seminar


[K-OS] is an online research seminar which focuses on knot theory and low-dimensional topology. Talks will be delivered by authors of recent arXiv articles of significant interest. It happens the 3rd Thursday of every month from 16:15 to 17:15 (CET/CEST Berlin, Brussels, Madrid, Paris, Rome, Vienna, Warsaw, Zurich) on Zoom.

Current time:

It is organized by Marc Kegel, Alexandra Kjuchukova, Lukas Lewark, Delphine Moussard and Anne-Laure Thiel. It benefits from logistical support from the CNRS and ETHZ.

If there is a recent arXiv preprint which you would like to see featured on the seminar, please email the organizers with your suggestion.

The K-OS talks are also listed in a Google Calendar.

Forthcoming Talks


19 November 2026
  • Speaker: Filippo Baroni (Trinity College Dublin)
  • Certifying fibredness and hyperbolicity of 3-manifolds (arXiv:2606.23284)
  • Abstract: In this talk, we discuss the computational complexity of the following problems: given a 3-manifold, does it fibre over the circle? And if it does, is it hyperbolic? We show that the problem of deciding fibredness of a 3-manifold lies in NP – meaning that a positive answer can be certified "efficiently"; this provides a slight generalisation of a theorem of Saul Schleimer. We also describe how hyperbolicity of a fibred 3-manifold can be certified "efficiently", although not quite enough to show that this problem lies in NP. By combining these results with a recently announced theorem of Marc Lackenby, we conclude that the problem of deciding if a knot in the 3-sphere is hyperbolic lies in NP.


17 December 2026


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