Polar foliations on symmetric spaces

Abstract: A polar foliation is a decomposition of a Riemannian manifold into equidistant submanifolds (called leaves) of possibly different dimensions, and such that through any point there exists a submanifold (called section) intersecting all leaves perpendicularly. These objects arise as generalizations of several important notions, such as the so-called isoparametric hypersurfaces and polar actions, whose study has produced many beautiful and profound results over the last decades. In this talk I will present an introduction to polar foliations, and report on some recent results concerning their classification in certain symmetric spaces.

Host: Quo-Shin Chi