Constantin Shramov Title: Birational automorphisms of Severi-Brauer surfaces Abstract: In 2009, I.Dolgachev and V.Iskovskikh classified finite subgroups of the birational automorphism groups of the projective plane over an algebraically closed field of characteristic zero. I will explain an analog of their result for birational automorphism groups of Severi-Brauer surfaces, i.e., surfaces that become isomorphic to the projective plane after passing to the algebraic closure of the base field. The classification is obtained by using geometric techniques based on the Minimal Model Program together with some theory of central simple algebras.