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.