Title: The A^1-homotopical classification of principal G-bundles
Speaker: Marc Hoyois
Speaker Info: MIT
Brief Description:
Special Note: Beware the early starting time
Abstract:
Let k be an infinite field and G an isotropic reductive k-group. If X is a smooth affine k-variety, then locally trivial G-torsors over X are classified by maps X → BG in the A^1-homotopy category. I will discuss the proof of this statement and some applications. This is joint work with Aravind Asok and Matthias Wendt.Date: Monday, February 29, 2016