数论与表示论讨论班:骆文斌 Geometric Bogomolov conjecture for semi-abelian varieties

 


时间:4月9日,周三,16:00-17:00  


主题: Geometric Bogomolov conjecture for semi-abelian varieties


报告人:Wenbin Luo 骆文斌 (Peking University 北京大学)


摘要:The geometric Bogomolov conjecture, originally formulated for abelian varieties over function fields, suggests that in a non-special closed subvariety, the points with canonical height bounded from above by a postive number (depending on the subvariety) are not Zariski dense. This was a long-standing conjecture until the proof of Xie–Yuan. We generalize and prove the conjecture for semi-abelian varieties. A new phenomenon is that a special subvariety may not have Zariski-densely many points of canonical height 0. This is a joint work with Jiawei Yu.