Time: 16:00-17:00, Wednesday, April 9  

Title: Geometric Bogomolov conjecture for semi-abelian varieties

Speaker: Wenbin Luo  (Peking University)

Abstract: 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.