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GAIA Seminar on Complex Analytic Geometry - Sejun Kim

posted May 22, 2016, 6:09 PM by Hyemin Shin
- Title: On the tangential holomorphic vector fields vanishing at an infinite type point

- Speaker: Sejun Kim (POSTECH Graduate student)

- Abstract:  R.E. Greene and S.G. Krantz conjectured that there would not exist any noncompact sequence of holomorphic automorphisms of a pseudoconvex domain which accumulate to a boundary point of infinite type in the sense of DAngelo, if the domain has smooth boundary.

It is also reasonable to consider a local version of the GreeneKrantz conjecture:

Let M be a real hypersurface in Cn and let p M. Suppose that p is a non-Levi-flat point of infinite type. If X=  is a holomorphic tangential vector field vanishing at p, then X is rotation.

I want to find a new method of the above conjecture, in the example .

- Place: GAIA Seminar Room (#106, Math Science bldg.)
- Date: 8 p.m. - 10 p.m on Monday, 23 May 2016

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