Speaker: 

Min Ru

Institution: 

University of Houston and MSRI

Time: 

Thursday, April 20, 2023 - 4:00pm to 5:00pm

Host: 

Location: 

RH 306

Abstract:   Motived by the notion of the algebraic hyperbolicity introduced by X. Chen, we introduce the notion of Nevanlinna hyperbolicity for a pair of (X, D), where X is a projective variety and D is an effective Catier divisor on X. This notion links and unifies the Nevanlinna theory, the complex hyperbolicity (Brody and Kobayashi hyperbolicity), the big Picard type extension theorem (more generally the Borel hyperbolicity). It also implies the algebraic hyperbolicity. The key is to use the Nevanlinna theory on parabolic Riemann surfaces recently developed by Paun and Sibony. This is a joint work with Yan He.