The Kobayashi-Hitchin correspondence |  |
Speaker:Prof. Dr. Ruxandra Moraru
Organizer:Fakultät für Mathematik und Informatik
Details:
In differential geometry, the Kobayashi-Hitchin correspondence relates solutions of the Hermitian-Einstein equations on a complex manifold M to stable holomorphic vector bundles on M. If was conjectured by S. Kobayashi and N. Hitchin in the early 1980s, and first proven by S. Donaldson in 1985 for algebraic surfaces. It was then proven by K. Uhlenbeck and S.T. Yau for Kähler manifolds, and the proof for general compact complex manifolds is due to N. Buchdhal as well as J. Li and S.T. Yau. In this talk, I will present a history of the problem and describe how the conjecture appears in the other contexts, particularly in the realm of generalized complex geometry.
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Type:Colloquium
Language:English
Category:Research
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Direct link to event:https://events.goettingen-campus.de/event?eventId=4975
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