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

2018/10/22

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Masanori Adachi (Shizuoka University)
On certain hyperconvex manifolds without non-constant bounded holomorphic functions (JAPANESE)
[ Abstract ]
For each compact Riemann surface of genus > 1, we can construct a Riemann sphere bundle over the given Riemann surface using the projective structure induced by its uniformization.
The total space of this bundle is divided into two 1-convex domains by a closed Levi-flat real hypersurface. Although these two domains are not biholomorphic, we see that they have several function theoretic properties in common. In this talk, I would like to explain these common properties: hyperconvexity and expressions for certain Green function, and Liouville property and growth estimates of holomorphic functions.