# Is it possible to prove Serre's Problem (the Quillen-Suslin theorem) via Motivic Homotopy Theory?

Tuesday, January 24th, 2012 | Author: Konrad Voelkel

These days I read Akhil Mathew's post on Vaserstein's proof of the Quillen-Suslin theorem, once known as Serre's Problem. This inspired the following.

Serre asked whether algebraic vector bundles over affine space are all trivial or not. Quillen and Suslin proved independently that they are, in fact, all trivial. This is some kind of analogue to the topological situation, where all vector bundles over n-dimensional complex affine space (or even n-dimensional real affine space) are trivial.

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