Séminaire Algèbre ICJ

Vladimir Chernousov : On the Tits-Weiss conjecture and the Kneser-Tits conjecture for some groups of type E7 and E8.

by Vladimir CHERNOUSOV (Université d'Alberta)

Europe/Paris
112 (bât. Braconnier)

112

bât. Braconnier

ICJ, UCBL - La Doua
Description

Joint work with S. Alsaody and A. Pianzola. In the first part of the talk we remind the definition of an R-equivalence (introduced by Manin), state the Tits-Weiss   conjecture on generation of structure groups of Albert algebras by U-operators and the Kneser-Tits conjecture for isotropic groups. In the second part of the talk we focus on computation of R-equivalence classes for groups of type E_6. As corollaries of our result we prove the Tits-Weiss conjecture and the Kneser-Tits conjecture for some isotropic groups of type E_7 and E_8.