%0 Journal Article %T Cohomology of Deligne-Lusztig varieties for short-length regular elements in exceptional groups %A Olivier Dudas %J Mathematics %D 2011 %I arXiv %X We determine the cohomology of Deligne-Lusztig varieties associated to some short-length regular elements for split groups of type F4 and En. As a byproduct, we obtain conjectural Brauer trees for the principal Phi_{14}-block of E7 and the principal Phi_{24}-block of E8. %U http://arxiv.org/abs/1112.5377v1