报告题目：One-Pointed Shafarevich's Conjecture for Moduli Spaces of Canonically Polarized Manifolds

报告时间：2023-4-6  14:30 - 15:30

报告人：孙锐然  McGill University

报告地点：理学院东北楼四楼报告厅

报告摘要：Motivated by Shafarevich's conjecture, Arakelov-Parshin proved the following finiteness result: for every curve C, the set of isomorphism classes of nonconstant morphisms C → Mg is finite (g ≥ 2). For moduli stacks parametrizing higher dimensional varieties Arakelov-Parshin's finiteness theorem fails for trivial reason, i.e. the existence of product families. In this talk we will explain that this is somehow the only obstruction: the finiteness theorem holds true for the Hom set of "pointed" curves (in which the product families are excluded). We also discuss some application of this result. This is a joint work with Ariyan Javanpeykar, Steven Lu and Kang Zuo.