Conference «Contemporary Mathematics and its applications» dedicated to the results of research supported by the Russian Science Foundation grant 14-50-00005
November 19, 2018 14:20–14:40 , Direction "Algebraic geometry, algebra and number theory", Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)
Finite groups of birational selfmaps
K. A. Shramov
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Abstract:
I will tell about recent advances in the theory of birational automorphism groups of algebraic varieties. In particular, I will describe the results of a series of works by V. L. Popov, E. A. Yasinsky, and my joint works with Yu. G. Prokhorov regarding Jordan property for such groups.
Related articles:
The Jordan constant for Cremona group of rank 2 Egor YasinskyBull. Korean Math. Soc. , 2017, 54 :5 , 1859–1871
p-Subgroups in automorphism groups of real del Pezzo surfaces E. A. YasinskyDokl. Akad. Nauk , 2018, 479 :1 , 134–136
$p$ -subgroups in the space Cremona group Yuri Prokhorov, Constantin ShramovMath. Nachr. , 2018, 291 :8 , 1374–1389
Finite groups of birational selfmaps of threefolds Yuri Prokhorov, Constantin ShramovMath. Res. Lett. , 2018, 25 :3 , 957–972
Jordan constant for Cremona group of rank $3$ Yuri Prokhorov, Constantin ShramovMosc. Math. J. , 2017, 17 :3 , 457–509
The Jordan Property for Lie Groups
and Automorphism Groups of Complex Spaces V. L. PopovMat. Zametki , 2018, 103 :5 , 811–819
Finite subgroups of diffeomorphism groups V. L. PopovTrudy Mat. Inst. Steklova , 2015, 289 , 235–241