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GAIA Seminar on complex Analytic Geometry_Dr. Ngoc Cuong Nguyen

posted Nov 13, 2017, 9:36 PM by Eunyoung Choi   [ updated Nov 19, 2017, 10:50 PM ]
- 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 Cn, i.e., it admits a negative plurisubharmonic exhaustive function. We study the properties of the "Pluricomplex Green function" of Ω, denoted by uz(ζ), which solves the Monge-Ampère equation 
 
  (ddcuz)n = 0 on Ω \ {z}, uz(ζ) ~ log|z - ζ| near z.

 

We associate to uz a measure μz supporting on ∂Ω. In general, μz 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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