Torsors Over Affine Curves - Part 3

Explore a 59-minute lecture from the IAS Park City Mathematics Institute's Graduate Summer School series focusing on G-torsors and G-bundles in algebraic geometry. Delve into advanced mathematical concepts covering the case of affine smooth surfaces and the affine plane, building upon previous discussions of affine smooth connected curves over algebraically closed fields and Dedekind rings. Learn from Professor Philippe Gille of Université Claude Bernard, Lyon 1, who presents this complex material with accompanying lecture notes and problem sets. Part of the 2024 program on Motivic Homotopy Theory, this lecture requires foundational knowledge in algebraic geometry, algebraic topology, homotopy theory, and familiarity with Galois and étale cohomology.