Séminaire Arithmétique et Géométrie Algébrique
Torsors on the complement of a smooth divisor
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.

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