[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 months from 16:00 to 17:00 (CET/CEST Berlin, Brussels, Madrid, Paris, Rome, Vienna, Warsaw, Zurich) on Zoom.

It is organized by Alexandra Kjuchukova, Lukas Lewark, Louis-Hadrien Robert and Emmanuel Wagner. It benefits from logistical support from the CNRS, the university of Paris and the university of Regensburg.

Forthcoming Talks

  • Speaker: Daniel López-Neumann (Indiana University)
  • Title: Genus bounds for non-semisimple quantum invariants of knots (about arXiv:2211.15010)
  • Abstract: In this talk we explain how to define knot polynomials out of finite dimensional N-graded Hopf algebras whose degrees give lower bounds to the Seifert genus. This construction recovers known bounds, such as for twisted Alexander polynomials, but also provides new bounds for "non-semisimple" quantum invariants, such as the Akutsu–Deguchi–Ohtsuki invariants, which are defined out of representation theory of quantum sl(2) at a root of unity. This is joint work with Roland van der Veen.

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