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GAIA Seminar on Complex Analytic Geometry - Dr. Tobias Harz

posted Mar 7, 2016, 5:21 PM by Hyemin Shin
- TitleOn smoothing of bounded plurisubharmonic functions

- Speaker: Dr. Tobias Harz (GAIA)

- Abstract: I will talk about work in progress concerning the smoothing of bounded (from above) plurisubharmonic functions on unbounded domains in Cn, n 2. In particular, I will prove the following result.

Theorem. There exist a pseudoconvex domain C2 and a nonempty open set U such that the following assertions hold true:

(1) There exists a function ϕ PSH(Ω) C0(Ω) such that ϕ < 0 on and ϕ is strictly plurisubharmonic on U .

(2) Every function ϕ PSH(Ω) C1(Ω) such that ϕ < 0 on is constant on U . 

- Place: GAIA Seminar Room (#106, Math Science bldg.)
- Date: 8 p.m. - 10 p.m on Thursday, 14 March 2016

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