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GAIA Seminar on Complex Analytic Geometry - Prof. Masanori Adachi

posted Oct 12, 2015, 6:38 PM by Hyemin Shin   [ updated Oct 20, 2015, 10:01 PM ]
- Title: Bergman and Hardy spaces of holomorphic disc bundles over compact Riemann surfaces

- Speaker: Prof. Masanori Adachi (Tokyo University of Science)

- Abstract:We would like to discuss the space of holomorphic functions on holomorphic disc bundles over compact Riemann surfaces of genus > 1. Such a disc bundle is known to be Stein in most cases, and its further properties, for example, the Liouville property, are of interest.
 In this talk, I will show that for a specific case its Hardy space vanishes and hence it is Liouville. Although this fact is implicit in an old paper by L. Garnett, I will give another proof based on an integral formula of Ph. A. Griffiths.

- Place: GAIA Seminar Room (#106, Math Science bldg.)
- Date: 8 p.m. - 10 p.m on Monday, 19 October 2015

 Poster <----click