Exotic Aspherical 4-Manifolds

Learn about exotic aspherical 4-manifolds in this mathematical lecture delivered by Michael Farber from Queen Mary University of London at the Fields Institute. Explore the fascinating world of 4-dimensional manifolds that are aspherical, meaning their universal cover is contractible, while examining exotic examples that demonstrate unique topological properties. Delve into advanced concepts in algebraic topology and differential geometry as the speaker presents research findings and theoretical frameworks related to these special geometric objects. Gain insights into the classification problems and construction techniques for aspherical 4-manifolds, understanding how exotic structures arise and their significance in modern topology. Discover the interplay between fundamental groups, covering spaces, and geometric structures in four dimensions, with particular attention to examples that challenge conventional understanding of 4-manifold topology.