Geometry & Topology

Event Information Manifold submetries and polynomial algebras
16:10 on Monday March 09, 2020
17:00 on Monday March 09, 2020
BA6183, Bahen Center, 40 St. George St.
Marco Radeschi

University of Notre Dame

Manifold submetries are maps that generalize Riemannian submersions, isometric group actions, and isoparametric maps. Locally around a point, manifold submetries are determined by a manifold submetry from a round sphere. In this talk, we will prove a surprising equivalence between the class of manifold submetries from round spheres and a special class of polynomial algebras. This has applications, for example, to Invariant Theory. This talk is based on a joint work with Ricardo Mendes.