On Ahlfors currents

主讲人 Speaker:谢松晏
时间 Time: 周五 16:00-17:00,2021-2-26
地点 Venue:近春园西楼三层报告厅

摘要 Abstract

We answer a basic question in Nevanlinna theory that Ahlfors currents associated to the same entire curve may be nonunique. Indeed, we will construct one exotic entire curve which produces infinitely many cohomologically different Ahlfors currents. Moreover, concerning Siu's decomposition, for an arbitrary positive integer k or k=infinity, some of the obtained Ahlfors currents have singular parts supported on k irreducible curves. In addition, they can have nonzero diffuse parts as well, which answers a question of Brunella. This is joint work with Dinh Tuan Huynh (https://arxiv.org/abs/2101.11973).

报告人简介 Profile

谢松晏,中科院数学所副研究员。本科毕业于清华大学,博士毕业于巴黎十一大。研究方向为复双曲几何,值分布理论,以及代数几何中的正性。博士论文解决了Debarre丰沛性猜测,即一大类完全相交的代数簇具有丰沛的余切丛。