Colloquium - Lei Ni - The geometry of two curvatures.


Speaker: Lei Ni (UC San Diego)

Title: The geometry of two curvatures.

Abstract:  I shall discuss the complex geometry of two curvatures. They are holomorphic in nature.  One curvature is related to the generalized Hartshone  conjecture. The other one reveals very different pictures for the positive and negative cases.  After I explain the general picture,  I shall discuss a novel use of a partial maximum principle to Whitney's comass proving two vanishing theorems which implies the projectivity and rational connectedness of the manifolds admitting positive second curvature.

Location: Virtual

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