Differential Geometry Seminar (2016)

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	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

　

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.

　

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.

　