29 may 2019 -- 11:00
Aula Lagrange, Dipartimento di Matematica, Università di Torino
Abstract.
Manifold submetries generalize Riemannian submersions, isometric group actions, and isoparametric maps. The local structure of Riemannian submersions around a point, is determined by Riemannian submersions from round spheres. In this talk, we will prove a surprising equivalence between the class of Riemannian submersions from spheres, and a class of polynomial algebras, with applications, for example, to Invariant Theory. This is based on a joint work with Ricardo Mendes.