28 mar 2017 -- 14:00
Aula 3014, U5, Università di Milano Bicocca
Abstract.
In this talk we consider the class of solvmanifolds endowed with invariant complex structures whose canonical bundle is holomorphically trivial, which in particular includes the complex nilmanifolds. In complex dimension 3, the existence of important classes of Hermitian metrics can be studied, such as Hermitian-symplectic, strong Kähler with torsion, balanced and strongly Gauduchon metrics. We will discuss some aspects of these special Hermitian geometries as well as their behaviour under holomorphic deformations of the complex structure.