A New Model for Stable Homotopy - Extending Pontryagin-Thom Construction

Explore a groundbreaking lecture on stable homotopy theory presented by Mohammed Abouzaid from Stanford University. Delve into the relationship between stable homotopy groups of topological spaces and framed bordism groups through the Pontryagin-Thom construction. Discover joint work with Andrew Blumberg that extends this relationship to the entire stable homotopy category, examining objects, morphisms, and compositions from a bordism perspective. Learn about the challenges of providing a Morse theoretic description of bordism groups. Gain insights into this complex topic without requiring prior knowledge of Floer theory, quasi categories, or derived bordism.

Mohammed Abouzaid, Stanford University: A new model for stable homotopy