Autumn Semester 2020 takes place in a mixed form of online and classroom teaching.
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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