Room 505, Cosmology Building, National Taiwan University +Zoom, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館505研討室+Zoom)
An Albanese Construction for Campana's C-pairs
Stefan Kebekus (University of Freiburg)
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. We clarify the notion of a "morphism of C-pairs", define (and prove the existence of) a "C-Albanese variety", and discuss the beginnings of a Nevanlinna theory for "orbifold entire curves".
Organizer: Pedro Núñez (NTU)