Séminaire d'arithmétique à Lyon

The Bass--Quillen phenomenon for reductive group torsors

par Kęstutis Česnavičius (Université Paris-Saclay)

Europe/Paris
Salle M7.411 (UMPA, ENS Lyon)

Salle M7.411

UMPA, ENS Lyon

Description

For a regular ring R, the Bass--Quillen conjecture predicts that every vector bundle on the relative affine space 𝔸^d_R descends to R.
I will discuss the generalization of this conjecture to torsors under more general reductive groups.