Prismatic Stable Homotopy Theory (March 14, 2025)

Watch this 49-minute lecture by Jacob Lurie exploring powerful approaches to algebraic K-theory through trace methods. Learn about approximations of K-theory using more computable invariants like Hochschild homology, and discover a conjectural extension of this methodology to other cohomological invariants in algebraic geometry. This talk on Prismatic Stable Homotopy Theory was presented at the 2025 Simons Collaboration on Perfection in Algebra, Geometry and Topology Annual Meeting hosted by the Simons Foundation.