中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
多复变与复几何学术活动
Some Topics in Several Complex Variables
代数几何研讨班
报告人: Associate Prof. Darondeau Lionel （Université de Montpellier）
题 目： Orbifold hyperbolicity
时间：2019.07.05（星期五），8 :30-10:00 ;10 :30-12 :00
地 点：数学院南楼N224室
Abstract: The geometric orbifold category introduced by Campana (in opposition to
the "divisible" orbifold category from stacks theory) is a very useful setting unifying the compact and logarithmic settings (varieties without or with boundaries). In this short series of lectures, we will study the complex hyperbolicity of smooth orbifold pairs. In the first lecture, we will give definitions and give a short review of Campana's program in birational geometry, in which these naturally arise. One central concept will be the special type (opposite to general type). Varieties of special type have a lot of interesting conjectural hyperbolic properties. We will explain how Campana's result and conjectures interplay with the famous Lang's conjectures in complex hyperbolicity to give a more precise conjectural picture (even starting with varieties without orbifold structure). It will be interesting to translate some of the results of Nevanlinna's theory of values distribution in our language, such as Nevanlinna's Picard Theorem, Cartan's Second Main Theorem, results by Noguchi-Winkelmann-Yamanoi on Abelian varieties, and a recent result by Huynh-Vu-Xie giving a Second Main Theorem truncated at order 1 in projective spaces.
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