An Albanese construction for Campana's C-pairs

Abstract

Almost twenty years ago, Campana introduced C-pairs to complex geometry. Interpolating between compact and non-compact geometry, C-pairs capture the notion of "fractional positivity" in the "fractional logarithmic tangent bundle". Today, they are an indispensible tool in the study of hyperbolicity, higher-dimensional birational geometry and several branches of arithmetic geometry. This talk reports on joint work with Erwan Rousseau. Aiming to construct a "C-Albanese variety", we clarify the notion of a "morphism of C-pairs" and discuss the beginnings of a Nevanlinna theory for "orbifold entire curves".

Speaker

Stefan Kebekus, Professor of Mathematics at the University of Freiburg. His research interests lie in Complex Geometry, a branch of Pure Mathematics with connections to Number Theory, Cryptography, Theoretical Physis, and many other fields.