Topology and Geometric Group Theory Seminar

Jeremy HahnMassachusetts Institute of Technology
Topology Festival Pre-talk: Manifolds with at most three homology groups

Tuesday, May 18, 2021 - 1:00pm
Via Zoom

Abstract: I will discuss the questions that arise when classifying smooth, simply connected manifolds with few non-zero homology groups. This mostly historical talk will begin with work of Milnor, Kervaire, Adams and Wall, and will end with recent joint work with Burklund and Senger. Perhaps surprisingly, the full classification relies on a good structural understanding of the Adams filtration on stable homotopy groups of spheres.