Characteristic Classes in Stable Motivic Homotopy Theory - Part 1

Explore a one-hour lecture on characteristic classes in stable motivic homotopy theory delivered by Frédéric Déglise from CNRS and ENS Lyon. Delve into the fundamental concepts of differential geometry, examining how characteristic classes have evolved from Milnor and Stasheff's foundational work to Quillen's groundbreaking contributions in formal group laws and cobordism. Learn how these classical concepts extend to stable motivic homotopy theory, where algebraic varieties and schemes replace traditional varieties and CW-complexes. Discover the developments that proved instrumental in Voevodsky's proof of the Milnor conjecture, and examine Levine and Morel's extension of Quillen's work. Investigate emerging topics in quadratic enumerative geometry through Panin and Walter's orientation theories. Access comprehensive lecture notes and problem sets to reinforce understanding of these advanced mathematical concepts, designed for students with foundational knowledge in algebraic geometry, algebraic topology, and homotopy theory.