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Seminar on Geometric Complex Analysis
Seminar information archive ～10/03｜Next seminar｜Future seminars 10/04～
| Date, time & place | Monday 10:30 - 12:00 128Room #128 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Kengo Hirachi, Shigeharu Takayama |
2018/12/03
10:30-12:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Genki Hosono (University of Tokyo)
Variational theories of complex analysis of several variables (JAPANESE)
Genki Hosono (University of Tokyo)
Variational theories of complex analysis of several variables (JAPANESE)
[ Abstract ]
In complex analysis, there are some values and functions which are subharmonic under pseudoconvex variations.
For example, the variation of Robin constant (Yamaguchi) and of Bergman kernels (Maitani-Yamaguchi) were studied.
As a generalization, the curvature positivity of spaces of $L^2$ holomorphic functions is proved by Berndtsson.
These theories are known to have some relations with $L^2$ extension theorems.
In this talk, I will explain known results and discuss the variation problem of the Azukawa pseudometric, which is a generalization of the Robin constant.
In complex analysis, there are some values and functions which are subharmonic under pseudoconvex variations.
For example, the variation of Robin constant (Yamaguchi) and of Bergman kernels (Maitani-Yamaguchi) were studied.
As a generalization, the curvature positivity of spaces of $L^2$ holomorphic functions is proved by Berndtsson.
These theories are known to have some relations with $L^2$ extension theorems.
In this talk, I will explain known results and discuss the variation problem of the Azukawa pseudometric, which is a generalization of the Robin constant.
