Bonn Topology Group - Abstracts
General Information - Members - Activities - Topology Seminar
Talk
July 3rd 2018
Damian Osajda (Uniwersytet Wrocławski, Poland): Two-dimensional Artin groups and systolicity
Abstract
We show that two-dimensional Artin groups act geometrically on metrically systolic complexes.
The latter are simply connected flag simplicial complexes with links satisfying some non-positive-curvature-like condition.
As corollaries we obtain new results on two-dimensional Artin groups and all their finitely presented subgroups:
the Dehn function is quadratic, the Conjugacy Problem is solvable. Furthermore, metric systolicity is used by us for studying quasi-isometric rigidity of such groups.
In the particular case of large-type Artin groups the results are strengthened - such groups are systolic. In that case we conclude many other new properties, e.g. biautomaticity, existence of an EZ-boundary.
The talk is based on a joint work with Jingyin Huang (MPIM Bonn).
Back to seminar page
News
Bonn mathematics performs excellently again in QS ranking
Stefan Schwede is invited speaker at the ECM 2024 in Sevilla
Jessica Fintzen wins Cole Prize
Regula Krapf receives university teaching award
Catharina Stroppel joined the North Rhine-Westphalia Academy for Sciences and Arts
Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019
Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023
Grants for Mathematics students from Ukraine
Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society
Peter Scholze elected as Foreign Member of the Royal Society