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The Kobayashi-Hitchin correspondence
8.6.2017, 16:15 - 17:15
Speaker:Prof. Dr. Ruxandra Moraru
Location:Mathematisches Institut, Bunsenstr 3-5SitzungszimmerGras Geo Map
Organizer:Fakultät für Mathematik und Informatik
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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