On Ahlfors currents

讲座时间 Datetime: 2022年6月14日，星期二， 15:00-16:30

地点 Venue: 腾讯线上会议：156-363-659

 主持人 Host：邵国宽

报告人 Speaker:谢松晏

单位 Affiliation:中科院数学所

报告摘要 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.