Geometry Seminar
On the universal cover of projective varieties
Speaker: Rodolfo Aguilar (University of Miami)Date: Tuesday, 29 April 2025 - 11:30Place: Aula Naranja, ICMAT
Abstract:
A conjecture of Shafarevich states that the universal cover of a smooth projective manifold should be holomorphically convex, in particular, it should admit holomorphic functions. This can be considered as a generalization of the uniformization Theorem of Riemann-Koebe for Riemann surfaces. We will survey old and recent advances in this conjecture which use techniques such as abelian and non-abelian Hodge theory.
