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.
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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.
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