Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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An introduction to non-K\"ahler geometry: A chemical analysis of complex manifolds

Daniele Angella (Dipartimento di Matematica e Informatica "Ulisse Dini", Università di Firenze)

created by daniele on 18 Sep 2016
modified on 04 Oct 2016

5 oct 2016 -- 14:00

Universitatea din Bucuresti


Since 50s, K\"ahler manifolds have been attracting much attention as a special subclass of complex manifolds, that is, geometric objects locally modelled on open subsets of the complex Euclidean space. In fact, they share many properties with projective manifolds, --- their algebraic counterpart. This is due to the very feature of K\"ahler manifolds: three different structures, --- complex, symplectic, Riemannian, --- closely intertwine to make analytic methods available.

Non-K\"ahler Geometry is the attempt to carry out a chemical analysis of these different structures, in order to understand their specific role, and to interpret methods and results into a wider context. Moreover, the construction of non-K\"ahler manifolds also answers to the demand of theoretical physics models, e.g. in type II String Theory.

From this point of view, we will address some questions concerning cohomological and metric aspects in Complex Geometry.

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