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Speaker:

Ricardo Mendes
Affiliation:

Universität zu Köln
Date:

Thu, 2019-01-24 16:30 - 17:30
Location:

MPIM Lecture Hall
Parent event:

Oberseminar Differentialgeometrie (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.

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