Geometry and Topology Seminar: Homogeneous polar foliations on symmetric spaces of noncompact type

Abstract: An isometric action on a Riemannian manifold is called polar if there exists a submanifold that intersects all the orbits of this action orthogonally. Such a submanifold is called a section of the action. Polar actions are generalizations of polar, spherical, and cylindrical coordinates. Sections are usually viewed as sets of canonical forms, as it is often the case that for actions given by matrix Lie groups sections are precisely the common Jordan canonical form of these matrices. In this talk I will discuss the classification problem of polar actions on symmetric spaces of noncompact type up to orbit equivalence, focusing on the classification of homogeneous polar foliations of codimension two. 

https://arxiv.org/abs/2302.08339

Host: Quo-Shin Chi