Speakers: Ariyan JAVANPEYKAR (Univ. de Mayence)
The Green-Griffiths-Lang-Vojta conjectures relate the hyperbolicity of an algebraic variety to the finiteness of sets of « rational points ». For instance, it suggests a striking answer to the fundamental question « Why do some polynomial equations with integer coefficients have only finitely many solutions in the integers? ». Namely, if the zeroes of such a system define a hyperbolic variety, then this system should have only finitely many integer solutions. In this talk I will explain how to verify some of the algebraic, analytic, and arithmetic predictions this conjecture makes.
https://indico.math.cnrs.fr/event/4589/