Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Alexandra Otiman
Affiliation:

University of Bucharest/MPIM
Date:

Thu, 2018-02-01 16:30 - 17:30 A Hermitian metric on a complex manifold is locally conformally Kähler (LCK) if it is conformal to a Kähler metric around each point.

Many of the complex non-Kähler manifolds admit such a metric. In this talk, I will discuss several examples, focusing on complex surfaces.

LCK manifolds provide a natural context for the study of twisted cohomology, also known as Morse-Novikov, which is the cohomology with values in a flat bundle. We compute it for Inoue surfaces and explain the relation between the twisted cohomology and their LCK geometry.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/4652