Last Update 2018/01/26
My research interest is the existence problem of the canonical Kahler metrics such as Kahler-Einstein metrics. Nowadays it is conjectured that the condition for their existence would be described in terms of stability of manifolds in the sense of Geometric Invariant Theory. I think that an interesting point of this conjecture is that it connects two aspects; differential geometry and algebraic geometry. I expect that this problem could give us a new view of geometry.
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