Video library: K. A. Shramov, Finite groups of birational selfmaps

VIDEO LIBRARY


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, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)

Finite groups of birational selfmaps K. A. Shramov
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 Yasinsky Bull. Korean Math. Soc., 2017, 54:5, 1859–1871 p-Subgroups in automorphism groups of real del Pezzo surfaces E. A. Yasinsky Dokl. Akad. Nauk, 2018, 479:1, 134–136 $p$-subgroups in the space Cremona group Yuri Prokhorov, Constantin Shramov Math. Nachr., 2018, 291:8, 1374–1389 Finite groups of birational selfmaps of threefolds Yuri Prokhorov, Constantin Shramov Math. Res. Lett., 2018, 25:3, 957–972 Jordan constant for Cremona group of rank $3$ Yuri Prokhorov, Constantin Shramov Mosc. Math. J., 2017, 17:3, 457–509 The Jordan Property for Lie Groups and Automorphism Groups of Complex Spaces V. L. Popov Mat. Zametki, 2018, 103:5, 811–819 Finite subgroups of diffeomorphism groups V. L. Popov Trudy Mat. Inst. Steklova, 2015, 289, 235–241