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GAIA Seminar on Complex Analytic Geometry - Dr. Thomas Pawlaschyk

posted Mar 13, 2016, 6:50 PM by Hyemin Shin
- TitlePolynomial convexity for unbounded closed sets in C^n

- Speaker: Dr. Thomas Pawlaschyk (Universität Wuppertal)

- AbstractI will introduce different types of polynomially convex hulls for arbitrary closed sets A in C^n. I will give some of their properties and examples. One of these hulls is the closure of the union of the polynomially convex hulls of all compact sets lying inside A. Another one is the collection of points which satisfy the following property: if there is a non-negative continuous entire plurisubharmonic function which vanishes on A, then it already vanishes at this point.
 These definitions arise naturally from the characterization of polynomially convex hulls in the compact case. In fact, in contrary to the compact case, it seems that they are not the same. To see this, I will give an example in C^2. At the end, I will explain the situation in $\cbb$ and discuss our recent observations on unbounded hulls. The study of these hulls is a joint work with T. Harz and Y. Nagata. 

- Place: GAIA Seminar Room (#106, Math Science bldg.)
- Date: 2 p.m. - 4 p.m on Thursday, 17 March 2016

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