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On simple finite subgroups in the Cremona group of rank 3

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If you have a question about this talk, please contact Mustapha Amrani.

Moduli Spaces

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).

This talk is part of the Isaac Newton Institute Seminar Series series.

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