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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.