20-24 November 2017
Europe/Paris timezone

Generalized Holomorphic Cartan Geometries

Not scheduled


Sorin Dumitrescu (Université Nice Sophia Antipolis)


This talk deals with Cartan geometries in the complex analytic category. We remind first standard facts going back to the seminal work of Klein, Cartan and Ehresmann.
Then we present the concept of a {\it branched holomorphic Cartan geometry}. It generalizes to higher dimension the definition of branched (flat) complex projective structure on a Riemann surface introduced by Mandelbaum. This new framework is much more flexible than that of
the usual holomorphic Cartan geometries (e.g. all compact complex projective manifolds admit branched holomorphic projective structures). In the same time, this new definition is rigid enough to enables us to classify branched holomorphic Cartan geometries on compact simply connected Calabi-Yau manifolds. This is joint work with Indranil Biswas (TIFR, Bombay).

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