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Title:
Deforming symplectomorphisms of Kahler-Einstein manifolds by the mean curvature flow
Speaker:
Abstract:
The mean curvature flow is applied to study the symplectomorphism group of a Kahler-Einstein manifold. In particular, I will discuss a pinching theorem for symplectomorphisms of the complex projective space. It is shown that there is a dimension-dependent constant Lambda such that any Lambda pinched symplectomorphism is symplectically isotopic to a biholomorphic isometry of the complex projective space. The talk is based on joint work with Ivana Medos.
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