From Betti numbers to l2-Betti numbers

Snapshots of modern mathematics from Oberwolfach

From Betti numbers to l2-Betti numbers

We provide a leisurely introduction to l2-Betti numbers, which are topological invariants, by relating them to their much older cousins, Betti numbers. In the end we present an open research problem about l2-Betti numbers.

If you are interested in translating this Snapshot, please contact us at info@imaginary.org

Mathematical subjects

Geometry and Topology

Connections to other fields

Reflections on Mathematics

Author(s)

Holger Kammeyer, Roman Sauer
Senior Editor:
Sophia Jahns
Junior Editor:
David Edward Bruschi, Lara Skuppin

License

DOI (Digital Object Identifier)

10.14760/SNAP-2020-001-EN

Download PDF

PDF

snapshots: overview

Mathematical subjects

Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics

These icons are available under the CC BY-SA 4.0 license. Please feel free to use them to classify your own content.
The vector icons can be downloaded here.