401-3538-19L  Topics in Metric Geometry

SemesterSpring Semester 2019
LecturersU. Lang
Periodicitynon-recurring course
Language of instructionEnglish


AbstractSurvey of various topics and key results in metric geometry. Contents: metric spaces and some isometric embedding theorems, geodesic and inner metric spaces, metric spaces of non-positive curvature in the sense of Busemann and Alexandrov, injective metric spaces and Isbell's injective hull construction, Gromov hyperbolic spaces and groups, Wasserstein distance and barycenter constructions.
Objective
Prerequisites / NoticeBasic knowledge in differential geometry and functional analysis