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Topics in Complex and Real Geometry

Complex geometry of orbits

speaker: Alan Huckleberry (Fakultät für Mathematik, Ruhr-Universität Bochum)

abstract: The following will be covered in various level of detail. 1.Basic facts on compact complex homogeneous spaces $Z=GP$ of complex semi-simple groups $G$. 2.Complex geometry of orbits in $Z$ of real forms $G_0$ of $G$. 3.Recently proved precise descriptions of cycle spaces of open $G_0$-orbits. 4.Examples of (Andreotti-Norguet) transfer from the cohomology of $G_0$-orbits to the function theory level of the associated cycle domains. Numerous open problems will be suggested.

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