Vortrag - Recent results and open problems about Oeljeklaus-Toma manifolds

The FRIAS Research Focus "Cohomology in Algebraic Geometry and Representation Theory"kindly invites

Victor Vuletescu

Professor at the University of Bucharest and guest researcher at the FRIAS Research Focus “Cohomology in Algebraic Geometry and Representation Theory”

Abstract

Oeljeklaus-Toma manifolds are compact complex manifolds associated to number fields with at least one real and at least one complex place. The construction is similar to tori, but it involves not only the lattice of integers but also a suitable group of units. We investigate how the number-theoretic properties influence their geometric properties: existence of special metrics, existence of closed subvarieties, etc. The talk is based mainly on joint work with L. Ornea and M. Verbitsky.