Special metrics in Complex Geometry
نویسنده
چکیده
In the first part of my talk, we consider special metrics on holomorphic bundles. We will recall the classical Hitchin-Kobayashi correspondence (Donaldson-Uhlenbeck-Yau theory) of stability and HermitianEinstein metrics on holomorphic vector bundles; and some generalizations of the classical Hitchin-Kobayashi correspondence, specially, we will focus on non-compact case; furthermore, We’ll discuss the Dirichlet boundary problem of Hermitian-Einstein equations (or quiver Vortex equations) and some related heat flow in gauge theory. In the second part of my talk, also I’ll introduce a uniqueness result about constant σk curvature Kähler metrics.
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