[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 that made a breakthrough in our field. 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.

It is organized by Alexandra Kjuchukova, Lukas Lewark, Delphine Moussard and Emmanuel Wagner. It benefits from logistical support from the CNRS, the university of Paris and the 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.

Forthcoming Talks


21 November 2024
  • Speaker: Giulio Belletti (Institut de Mathématiques de Bourgogne)
  • Title: Torsion in the Kauffman bracket skein module (on 2406.17454)
  • Abstract: The skein module of a 3-manifold is a rich algebraic object whose elements are knots and links; it has many fascinating connections to representation theory, mathematical physics and the Jones polynomial. In this talk I will give a brief introduction to the topic, including discussing the sort of interesting problems that come up with these objects, and then I will focus on a recent joint work with R. Detcherry about the relationship between torsion in the skein module and interesting surfaces in the manifold.

12 December 2024
  • Speaker: Beibei Liu (Ohio State University)
  • Title: Bounding the Dehn surgery number by 10/8 (on 2405.16904)
  • Abstract: Every closed, oriented 3-manifold is obtained by a Dehn surgery on a link in the three-sphere. It is natural to ask about the minimal number of components of a link that admits a Dehn surgery to a given 3-manifold. In this talk, we use Furuta's 10/8-theorem to provide new examples of 3-manifolds with the same integral homology as the lens space L(2k, 1), while not surgery on any knot in the three-sphere.

16 January 2025
  • TBA

20 February 2025

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