Geometric structures in group theory. Abstracts from the workshop held June 21--27, 2020 (hybrid meeting)
type: Item
instance of: scholarly article
title: Geometric structures in group theory. Abstracts from the workshop held June 21--27, 2020 (hybrid meeting)
zbMATH Open document ID: 1469.00023
DOI: 10.4171/OWR/2020/16
published in: Oberwolfach Reports
publication date: 2021-08-09T00:00:00Z
review text: Summary: The conference focused on the use of geometric methods to study infinite groups and the interplay of group theory with other areas. One of the central techniques in geometric group theory is to study infinite discrete groups by their actions on nice, suitable spaces. These spaces often carry an interesting large-scale geometry, such as non-positive curvature or hyperbolicity in the sense of Gromov, or are equipped with rich geometric or combinatorial structure. From these actions one can investigate structural properties of the groups. This connection has become very prominent during the last years. In this context non-discrete topological groups, such as profinite groups or locally compact groups appear quite naturally. Likewise, analytic methods and operator theory play an increasing role in the area.
Mathematics Subject Classification ID: 00B05
Mathematics Subject Classification ID: 00B25
Mathematics Subject Classification ID: 20-06
Mathematics Subject Classification ID: 20Exx
Mathematics Subject Classification ID: 20Fxx
Mathematics Subject Classification ID: 20Jxx
Mathematics Subject Classification ID: 46L05
Mathematics Subject Classification ID: 57Mxx
zbMATH DE Number: 7379641
MaRDI profile type: Publication
cites work: Profinite invariants of arithmetic groups
cites work: Absolute profinite rigidity and hyperbolic geometry
full work available at URL: https://doi.org/10.4171/owr/2020/16
OpenAlex ID: W4249355693
description: scientific article; zbMATH DE number 7379641