Around Zilber-Pink Conjectures
Time: 2025-04-12
Published By: He Liu
Speaker(s): Wenbin Luo(BICMR)
Time: 14:00-15:00 April 14, 2025
Venue: Room 77201, Jingchunyuan 78, BICMR
As a profound generalization of many Diophantine conjectures such as Mordell-Lang conjecture and Andre-Oort conjecture, Zilber-Pink conjecture provide a deep insight via the philosophy of unlikely intersections. We will give a short introduction on the known results. In particular, we will present the work of Barroero-Dill which reduce the Zilber-Pink for abelian varieties over $\mathbb{C}$ to the case over $\mathbb{Q}$ . If time permits, we may discuss a possible generalization to semiabelian varieties.