## Programm des Emmy-Noether-Seminars

Fri, 23.06.2017, 14:30End: Fri, 23.06.2017, 15:30 |
Oka Principles and the Linearization ProblemEmmy-Noether-SeminarSpeaker:
Prof. Gerald Schwarz (Brandeis)Host:
KnopRoom:
04.363Let G be a complex Lie group and let Q be a Stein manifold.
Suppose that X and Y are holomorphic principal G-bundles over Q which admit an isomorphism $\Phi$ as topological principal G-bundles. Then the Oka principle of Grauert says that there is a
homotopy $\Phi_t$ of topological isomorphisms of the principal G-bundles X and Y with $\Phi_0=\Phi$ and $\Phi_1$ biholomorphic. We prove generalizations of Grauert's Oka principle in the following
situation: G is reductive, X and Y are Stein G-manifolds whose
(categorical) quotients are biholomorphic to the same Stein space Q. This is joint work with F. Kutzschebauch and F. Lárusson. |
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