Topology. Abstracts from the workshop held July 26 -- August 1, 2020 (hybrid meeting)
type: Item
instance of: scholarly article
title: Topology. Abstracts from the workshop held July 26 -- August 1, 2020 (hybrid meeting)
zbMATH Open document ID: 1469.00021
DOI: 10.4171/OWR/2020/21
published in: Oberwolfach Reports
publication date: 2021-08-09T00:00:00Z
review text: Summary: The Oberwolfach conference ``Topologie'' is one of only a few opportunities for researchers from many different areas in algebraic and geometric topology to meet and exchange ideas. On this occasion, because of the Corona pandemic, only about 20 participants attended in person, but another \(\sim 25\) attended online. Speakers were selected from both groups. A topic of special interest emphasized at the workshop was the rational homotopy theory of embedding spaces and relations to graph complexes and formality. Two 50 minute lectures on this theme were given by Thomas Willwacher, and one by Victor Turchin. The rest of the program covered a wide range of topics, among them: homotopy properties of diffeomorphism groups of high dimensional manifolds, advances in the classification of high-dimensional highly connected smooth manifolds, parametrized algebraic surgery in relation to hermitian algebraic \(K\)-theory, other advances in and geometric applications of algebraic K-theory, stable homotopy interpretation of link invariants, geometry of surface bundles and cohomology of mapping class groups, boundary concepts in geometric group theory, and Koszul duality for operads.
Mathematics Subject Classification ID: 00B05
Mathematics Subject Classification ID: 00B25
Mathematics Subject Classification ID: 55-06
Mathematics Subject Classification ID: 19-06
Mathematics Subject Classification ID: 57-06
zbMATH DE Number: 7379646
MaRDI profile type: Publication
cites work: Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
cites work: ON THE COHOMOLOGY OF TORELLI GROUPS
description: scientific article; zbMATH DE number 7379646