MSRI Streaming Video Series
Karen Vogtmann
- The geometry of spaces of finite labelled trees
Abstract: Spaces of finite trees with k labelled leaves arise in seemingly diverse subjects, including automorphisms of free groups,
symplectic Lie algebras, and molecular phylogenetics. These spaces carry natural metrics of non-positive curvature, and we study
geodesics in these spaces as well as different notions of centroid and probability measures.