多复变与复几何研讨班：Fundamental Groups of Campana Special Varieties

中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

多复变与复几何研讨班

SCV&CG Seminar

Speaker: 邓亚 研究员 (CNRS Sorbonne Université)

Inviter: 周向宇 院士

Language: Chinese

Title: Fundamental Groups of Campana Special Varieties

Time & Venue: 2026年9月2日（星期三） 16:00 - 18:00 & 南楼N913

Abstract:

Campana introduced special varieties in 2004 as fundamental objects in his program for the classification of algebraic varieties. Roughly speaking, a variety is special if it admits no dominant morphism whose orbifold base (i.e. taking fiber multiplicities into account) is of general type. Special varieties includes varieties of logarithmic Kodaira dimension zero. A conjecture of Campana, in its revised form, predicts that the fundamental group of a special variety is two-step nilpotent. In this talk, I will show that every local system on a special variety has two-step nilpotent monodromy. In particular, Campana’s conjecture holds for special varieties with linear fundamental groups. This work is based on joint works with Benoît Cadorel, Katsutoshi Yamanoi, and more recently with Junyan Cao, Christopher Hacon, Mihai Păun.