Seminar on Geometric Complex Analysis

Seminar information archive ~04/24Next seminarFuture seminars 04/25~

Date, time & place Monday 10:30 - 12:00 128Room #128 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Kengo Hirachi, Shigeharu Takayama


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)
[ 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.