Séminaire Algèbre ICJ

Ting-Yu LEE (National University Taiwan): Unramified Brauer groups of norm tori of étale algebras

C112 (St-Etienne, Métare)


St-Etienne, Métare


This talk is based on joint work with E. Bayer-Fluckiger. Let k be a number field, and L be an étale algebra over k with one cyclic factor. In this talk we will discuss the unramified Brauer group of the torus defined by the norm-one equation of L over k.  We will end the talk  with an application to local-global principles of norm equations.