On simple finite subgroups in the Cremona group of rank 3
Seminar Room 1, Newton Institute
The Cremona group of rank N is the group of birational selfmaps of the projective space of dimension N.
Recently Yura Prokhorov (Moscow) classified all finite simple subgroups in the Cremona group of rank 3 (this answers a question of Serre).
I will show how to apply Nadel-Shokurov vanishing and Kawamata subadjunction to study conjugacy classes of the subgroups classified by Prokhorov.
In particular, I give a partial answer to another question of Serre on normalizers of finite simple subgroups in the Cremona of rank 3.
This is a joint work with Costya Shramov (Moscow).