We introduce two new general methods to compute the Chow motives of twisted flag varieties and settle a 20-year-old conjecture of Markus Rost about the Rost invariant for groups of type .
"Shells of twisted flag varieties and the Rost invariant." Duke Math. J. 165 (2) 285 - 339, 1 February 2016. https://doi.org/10.1215/00127094-3165434