Speaker:  Hao Peng (MIT)

Title:  Brauer groups of schemes

Abstract:  Topics: Étale cohomology of 𝔾_m; ​definition of cohomological Brauer group of a scheme; Azumaya algebras; definition of Azumaya Brauer group; comparison (without proof).

References: Poonen, Rational points on varieties, Section 1.5. See also Gille and Szamuely, Central simple algebras and Galois cohomology, Sections 2.4-2.6, for some of the topics. Also see Milne, Class field theory, Chapter IV and Theorem VIII.4.2.  

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