Br(X)=Br´(X) for separated unions of two affines (after Gabber and Lieblich)

Abstract: Gabber proved in his thesis the following beautiful theorem: If $X$ is the separated union of two affine schemes, then the Brauer group agrees with the cohomological Brauer group. Later Lieblich gave in his thesis a rather slick new proof using the theory of twisted sheaves. In this talk I want to sketch Lieblich’s proof and if time permits I´ll explain why I got interested in this statement.

Frenchalgebraic geometry

Audience: researchers in the topic

RéGA (Réseau des étudiants en Géométrie Algébrique)

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