Algebraic Vector Bundles Over Smooth Affine Varieties

Explore a comprehensive lecture on algebraic vector bundles over smooth affine varieties delivered by Michael Hopkins from Harvard University at the IAS PCMI Park City Mathematics Institute. Delve into advanced mathematical concepts as part of the 2024 Program on Motivic Homotopy Theory, which bridges classical homotopy theory with arithmetic aspects in algebra and algebraic geometry. Master fundamental concepts through this hour-long presentation that contributes to a broader summer school program featuring interwoven minicourses taught by leading experts. Gain insights into the development of motivic homotopy theory since its emergence from Morel and Voevodsky's work in the 1990s, while building upon prerequisite knowledge in algebraic geometry, algebraic topology, and homotopy theory. Participate in accompanying daily problem sessions designed to strengthen understanding and practical application of the material within a collaborative environment of researchers and participants across various PCMI programs.