Mathematische Gesellschaft am 6.12.2012

Donnerstag, 6.12.2012, 16.45 Uhr, Sitzungszimmer


Victor Vuletescu, Bukarest

"Number fields in locally conformal geometry"


Abstract:

It is a classical idea to associate complex manifolds to number fields; recall for instance the elliptic curves associated to imaginary quadratic number fields. We will see in this talk how the study of a class of compact complex manifolds associated to some number fields (the so-called Oeljeklaus-Toma manifolds) can have impact in the area of locally conformally Kaehler geometry, and, in turn, how some problems arising in this area lead to questions in algebraic number theory. The talk is based on some recent results obtained in collaboration with L. Ornea, M. Parton and M. Verbitsky.