Jinsong Xu

Jinsong Xu (Xi’an Jiaotong-Liverpool University) visited Laboratory of Algebraic Geometry in December 2019 at the invitation of research fellow Konstantin Shramov.


On December 18th 2019 he gave a talk On the Jodan property of birational automorphism group of higher dimensional varieties at the seminar of Laboratory.
Abstract: A classical theorem of Jordan states that there exists a constant J(n) such for any finite subgroup G of GL(n), one may find an abelian subgroup G_0 of G with index at most J(n). For the last decade, this property has been studied for many other groups by Serre, Prokhorov, Shramov, Popov, Zarhin etc. In this talk we survey the current state of art, and present a conjectural characterization of those varieties whose birational automorphism groups are not Jordan