Department of

March 2016 April 2016 May 2016 Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa 1 2 3 4 5 1 2 1 2 3 4 5 6 7 6 7 8 9 10 11 12 3 4 5 6 7 8 9 8 9 10 11 12 13 14 13 14 15 16 17 18 19 10 11 12 13 14 15 16 15 16 17 18 19 20 21 20 21 22 23 24 25 26 17 18 19 20 21 22 23 22 23 24 25 26 27 28 27 28 29 30 31 24 25 26 27 28 29 30 29 30 31

Tuesday, April 19, 2016

**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.