Events
On the Bott-Chern Cohomology of Vaisman manifolds
| Title of the event | On the Bott-Chern Cohomology of Vaisman manifolds |
| Series | KolloquiumGRK |
| Organizer | Fakultät für Mathematik und Informatik |
| Speaker | Nicolina Istrati |
| Speaker institution | Philipps-Universität Marburg |
| Type of event | Kolloquium |
| Category | Forschung |
| Registration required | Nein |
| Details | Vaisman manifolds are complex manifolds which can be endowed with a special type of a Hermitian structure, namely a locally conformally Kähler metric with parallel Lee form. Typical examples are given by holomorphic principal torus bundles over a projective manifold with prescribed characteristic class. More generally, the geometry of Vaisman manifolds is closely related to Kählerian geometry, as these manifolds always come endowed with a natural transversally Kähler foliation. However, Vaisman manifolds do not satisfy the dd^c-lemma, therefore it is interesting to study their Bott-Chern cohomology, which is then a refined invariant. In this talk, I will explain how one can express this cohomology in terms of the basic cohomology with respect to the foliation, and in particular infer that the Bott-Chern numbers and the Dolbeault numbers determine each other. At the same time however, the numerical obstructions to the dd^c-lemma can be arbitrarily high.This is based on joint work with Alexandra Otiman. |
| Date | Start: 07.07.2022, 16:15 Uhr Ende: 07.07.2022 , 17:15 Uhr |
| Location |
Mathematisches Institut (Bunsenstr 3-5) Sitzungszimmer Zoom: https://uni-goettingen.zoom.us/j/91336854872 Live Stream: http://streaming.math.uni-goettingen.de/ |
| Contact |
0551/39.27752 linda.haber@mathematik.uni-goettingen.de |