市大数学教室


Osaka City University Advanced Mathematical Institute

Department of Mathematics and Physics
Graduate School of Science
Osaka City University
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As a project of OCAMI, we shall promote the seminar on differential geometry in the wide sense of including the areas related to geometric analysis, topology, algebraic geometry, mathematical physics, integrable systems, information sciences etc.

Contact to : Yoshihiro Ohnita
Shin Kato

Kaname Hashimoto
Department of Mathematics Osaka City University
Sugimoto, Sumiyoshi-ku, Osaka, 558-8585, JAPAN
TEL: 06-6605-2617(Ohnita)
06-6605-2616(Kato)
e-mail: ohnita@sci.osaka-cu.ac.jp
shinkato@sci.osaka-cu.ac.jp

h-kaname@sci.osaka-cu.ac.jp



Differential Geometry Seminar(2016)
(2015)
     
Speaker :Yoshihiro Ohnita (Osaka City Universitiy & Osaka City Universitiy Advanced Mathematical)
Title :On isoparametric hypersurfaces of OT-FKM type (a survey)
Date :November 9 (Wed.) 14:45~16:15
Place :Dept. of Mathematics, Sci. Bldg., F415
Abstract

Ozeki-Takeuchi (1975-76) first discovered non-homogeneous isoparametric hypersurfaces in the standard sphere by using representations of Clifford algebras, and Ferus-Karcher-M\"unzner (1981) extensively generalized the constructions and discussed their properties in detail. Such isoparametric hypersurfaces are so-called isoparametric hypersurfaces of OT-FKM type (or Clifford type). After that a number of interesting studies on isoparametric hypersurfaces of OT-FKM type have been studied from the viewpoint of differentail geometry and topology. This time I would like to give an introductory survey on theory of isoparametric hypersurfaces of OT-FKM type.

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Speaker :Katrin Leschke (Department of Mathematics, University of Leicester, UK)
Title :Quaternionic Holomorphic Geometry: Darboux transforms of minimal surfaces
Date :April 15 (Fri.) 15:15~17:00
Place :Dept. of Mathematics, Sci. Bldg., E408
Abstract

In my talk, I will give a short introduction to Quaternionic Holomorphic Geometry: conformal maps into 3-space can be used used as an analogue for complex holomorphic functions. As an example of the theory I will discuss the Darboux transformation of minimal surfaces. The latter is joint work with K Moriya.

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Last Modified on November 8, 2016.
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