Seminar on Geometric Complex Analysis

Seminar information archive ~03/28Next seminarFuture seminars 03/29~

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

2019/09/30

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Sachiko Hamano (Osaka City Univ.)
Rigidity of the directional moduli on pseudoconvex domains fibered by open Riemann surfaces
[ Abstract ]
G. Schmieder-M. Shiba observed conformal embeddings of a fixed open Riemann surface of positive finite genus into closed Riemann surfaces of the same genus, and they showed the range of each diagonal element of the period matrices. Now we shall consider a smooth deformation of open Riemann surfaces with a complex parameter. In this talk, we show the rigidity of directional moduli induced by elements of the period matrices on pseudoconvex domains fibered by open Riemann surfaces of the same topological type.