[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 16:15 to 17:15
(
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 and the university
of
Paris.
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
16/11/2023
- Speaker: Ivan Dynnikov (Steklov Mathematical Institute)
- Title: An algorithm for comparing Legendrian links (2309.05087)
- Abstract: The talk is based on my joint works with Maxim Prasolov and Vladimir
Shastin, where we studied the relation between rectangular diagrams of
links and Legendrian links. This relation allows for a complete
classification of exchange classes of rectangular diagrams in terms of
equivalence classes of Legendrian links and their symmetry
groups. Since all rectangular diagrams of given complexity can be
searched, this yields a method to algorithmically compare Legendrian
links. Of course, the general algorithm has too high complexity for a
practical implementation, but in some situations, the most
time-consuming parts can be bypassed, which allows us to confirm the
non-equivalence of Legendrian knots in several previously unresolved
cases.
14/12/2023
- Speaker: Effie Kalfagianni (Michigan State University)
- Title: Jones diameter and crossing numbers of satellite knots
- Abstract: It has been long known that the quadratic term in the degree of
the colored Jones polynomial of knot provides a lower bound of the crossing
number the knot.
I’ll discuss work, some joint with Christine Lee (2021) and some joint
with Rob McConkey (2023), where we determine the class of knots for which
this bound is sharp and give applications to computing crossing numbers of
satellite knots.