Tamaru's TALK (Beijing 2019)
Data
Moment maps and isoparametric hypersurfaces in spheres.
Workshop on the Isoparametric Theory
(Beijing Normal University), 2019/06/04.
Abstract
Our expectation is that all isoparametric hypersurfaces in spheres
with four distinct principal curvatures are related to the moment maps for certain Hamiltonian actions.
To be exact,
the Cartan-Munzner polynomials of these hypersurfaces could be written as squared norms
of the moment maps for some linear Hamiltonian actions.
In this talk,
we will explain that our expectation is true for most of homogeneous ones.
This talk is based on some joint works with Shinobu Fujii.
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