Around Zilber-Pink Conjectures
发布时间:2025年04月12日
浏览次数:36
发布者: He Liu
主讲人: 骆文斌(数学中心)
活动时间: 从 2025-04-14 14:00 到 15:00
场地: 北京国际数学研究中心,镜春园78号院(怀新园)77201室
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.