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Alexandra-Iulia Otiman

AIAS FORMER FELLOW

Current position: Assistant Professor, Aarhus Institute of Advanced Studies and Department of Mathematics, Aarhus University, Denmark:

During her AIAS-COFUND Fellowship, Alexandra-Iulia Otiman worked on the project 'Bridging the gap between Kähler and non-Kähler geometry'

Project description

A privileged place in the mathematical field of complex differential geometry belongs to Kähler manifolds, which lie at the intersection of complex, symplectic and Riemannian geometry. As a first attempt towards understanding the non-Kähler world, numerous generalizations of  Kähler metrics emerged. The project I shall carry out at AIAS for a time frame of three years endeavors to bridge the gap between these geometries by investigating complex non- Kähler manifolds of special type from an analytic and topological point of view.
Specifically, the project comprises a systematic study of explicit examples of manifolds carrying locally conformally Kähler, balanced and pluriclosed metrics and aims at understanding the analytic and cohomological obstructions to the existence of such kind of metrics on generic compact complex manifolds.

 

Project title: Bridging the gap between Kähler and non-Kähler geometry

Area of research: Mathematics

Fellowship period: 1 Feb 2022 - 31 Jan 2025

Fellowship type: AIAS-COFUND II Marie Skłodowska-Curie fellow

 

This fellowship has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 754513 and The Aarhus University Research Foundation.