Séminaire Arithmétique et Géométrie Algébrique
Torsors on the complement of a smooth divisor
04
Oct. 2022
Oct. 2022
Intervenant : | Kęstutis Česnavičius |
Institution : | LMO |
Heure : | 14h00 - 15h00 |
Lieu : | 3L15 |
A conjecture of Nisnevich predicts that for a smooth variety X over a field, a smooth divisor D
in X, and a totally isotropic reductive X-group scheme G, every generically trivial G-torsor on
X \ D trivializes Zariski locally on X. I will discuss this conjecture and related questions about
torsors under reductive groups over regular rings.