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Partial compactification of metabelian Lie groups with prescribed varieties of minimal rational tangents
Speaker: Jun-Muk Hwang (Institute for Basic Science)

Time: 14h00, Friday, April 22, 2022

Abstract: We study minimal rational curves on a complex manifold that are tangent to a distribution. In this setting, the variety of minimal rational tangents (VMRT) has to be isotropic with respect to the Levi tensor of the distribution. Our main result is a converse of this: any smooth projective variety isotropic with respect to a vector-valued anti-symmetric form can be realized as VMRT of minimal rational curves tangent to a distribution on a complex manifold. The complex manifold is constructed as a partial equivariant compactification of a metabelian group, which is a result of independent interest.

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http://www.math.ntu.edu.tw/~jkchen/agea-seminar.html

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