Jordan constants of Cremona group of rank 2 in odd characteristic
        
    
    演讲者
            
                                陈亦飞
                            
        时间
            
            2025年09月25日 15:00 至 16:00
            
        地点
            
                A6-101
            
        线上
            
                Zoom 638 227 8222
                (BIMSA)
            
        摘要
            
                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.
            
         
                 
                                         
                                         
                                        