- Title:
On the Monge-Ampère boundary measure
of a bounded hyperconvex
domain ^{} - Speaker: Dr. Ngoc Coung Nguyen (GAIA)
- Abstract:
We present results in a paper by Demailly. Let Ω be a bounded
hyperconvex domain in C^{n},
i.e., it admits a negative plurisubharmonic exhaustive function. We study the
properties of the "Pluricomplex Green function" of Ω, denoted by u_{z}(ζ), which solves the Monge-Ampère
equation
(dd^{c}u_{z})^{n} = 0 on Ω \ {z}, u_{z}(ζ) ~ log|z - ζ| near z.
We associate to u_{z} a measure μ_{z}
supporting on ∂Ω. In general, μ_{z} is supported by the set of strictly
pseudoconvex points of ∂Ω. - Place: GAIA Seminar Room (#106, Mathematical Science bldg.)
- Date: 8 p.m. - 10 p.m on Monday, 20 November 2017 Poster <---Click here |
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