Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Ricardo Mendes
Affiliation:

Universität zu Köln
Date:

Thu, 2019-01-24 16:30 - 17:30 (Joint work with M. Radeschi.) Singular Riemannian foliations of the

round sphere S^n are decompositions of S^n into smooth, equidistant

submanifolds. They generalize both the orbit decomposition under the

isometric action of a connected group, and isoparametric foliations.

By a result of Lytchak-Radeschi, such foliations are always algebraic,

in the sense that the algebra of polynomials that are constant on

leaves is finitely generated, and separates leaves. This establishes a

one-to-one correspondence between such foliations and ***some*** class of

algebras of polynomials. In this talk I will give a characterization

of the algebras that arise in this way, in the more general context of

manifold submetries.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/4652