Metric rigidity of nonpositive curvature

Abstract: We shall present a novel rigidity theorem for metric transforms of nonpositively curved Alexandrov spaces. We will then use this result to construct counterexamples to previously conjectured metric formulations of Kwapień's theorem from Banach space theory. Time permitting, further geometric and algorithmic applications will also be discussed. The talks will be based on joint work with M. Mendel (Open University of Israel) and A. Naor (Princeton).

algebraic topologyfunctional analysisgroup theorygeometric topologyoperator algebras

Audience: researchers in the topic

Vienna Geometry and Analysis on Groups Seminar