[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
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
- Speaker: Tye Lidman (North Carolina State University)
- Title: Cosmetic surgeries, knot complements, and Chern-Simons invariants (on 2410.21248)
- Abstract: Dehn surgery is an important construction in low-dimensional topology which turns a knot into a new three-manifold. This is deeply tied to the study of knots through their complements. The Cosmetic Surgery Conjecture predicts two different Dehn surgeries on the same knot in the three-sphere always gives different three-manifolds. We show how tools from gauge theory can help to approach this problem, settling the conjecture for almost all knots in the three-sphere. This is joint work with Ali Daemi and Mike Miller Eismeier.
20 February 2025
