Jordan Constants of Cremona Group of Rank 2 in Odd Characteristic
Speaker(s): Yifei Chen (Chinese Academy of Science)
Time: 15:00-16:15 December 11, 2025
Venue: Room 77201, Jingchunyuan 78, BICMR
Abstract: A classical theorem of C. Jordan asserts that finite subgroups in a general linear group over a field of characteristic zero contains normal abelian subgroups of bounded index. In general, a group G has Jordan property, if any finite subgroup of G contains a normal abelian subgroup of index at most J, where J is a constant only depending on G. J.P. Serre proves Cremona group of rank 2 has Jordan property, and he conjectures Cremona group of any rank has Jordan property. The conjecture is proved by Prokhorov-Shramov and Birkar. In this talk, we give explicit bounds for Cremona group of rank 2 in odd characteristic. This is a joint work with C. Shramov.
