Bernhard Hanke, Augsburg University - Large and Small Group Homology

Explore the intriguing connections between group homology and metric properties of smooth manifolds in this 54-minute lecture by Bernhard Hanke from Augsburg University. Delve into the surprising ways group homology, typically defined in algebraic or topological terms, can encode metric properties like enlargeability and positive scalar curvature. Examine the crucial role played by the image of the homological fundamental class of a given manifold under the classifying map. Gain insights into this thought-provoking approach and discover its various applications in the field of mathematics.