Time: 10:10am-12:00pm, Tuesday, Oct 20th
Place: Room 29,  Quan Zhai, BICMR
Speaker: Fernando Galaz-Garcia, Karlsruher Institut für Technologie

Abstract: An action of a compact Lie group on a topological space is said to be of cohomogeneity one if its orbit space has dimension one. Cohomogeneity one smooth manifolds have been used to construct examples of Riemannian metric with particular geometric properties, for example, positive or non-negative sectional curvature. In this talk I will discuss the structure and classification of cohomogeneity one smooth and topological manifolds, as well as extensions of these results to Alexandrov spaces (with curvature bounded below), which are synthetic generalizations of Riemannian manifolds.