Charanya Ravi: An equivariant analog of the Bass-Quillen conjecture

The Bass-Quillen conjecture states that every vector bundle over 𝔸nR is extended from Spec(R) for a regular noetherian ring R. In 1981, Lindel proved that this conjecture has an affirmative solution when R is essentially of finite type over a field. We will discuss an equivariant version of this conjecture for the action of a reductive group. When R = ℂ, this is called the equivariant Serre problem and has been studied by authors like Knop, Kraft-Schwarz, Masuda-Moser-Jauslin-Petrie. In this talk, we will be interested in the case when R is a more general regular ring. This is based on joint work with Amalendu Krishna.
Published Sep. 27, 2017 11:44 AM - Last modified Sep. 27, 2017 11:44 AM