Alexandros Eskenazis,
Assaf Naor,
and Seung-Yeon Ryoo
Original Announcement
This workshop and by the Merkin Center at Caltech, will be devoted to the theory of metric embeddings and its interactions with geometry, analysis, probability, combinatorics, group theory, topology, and theoretical computer science. It will provide the opportunity for researchers to learn about major recent advances in this area. Another goal of the conference is to revive Matoušek’s influential list of "Open Problems on Embeddings of Finite Metric Spaces" (https://kam.mff.cuni.cz/~matousek/metrop.ps), by updating it to reflect progress on existing problems, and adding to it a list of new questions and challenges.
The main topics for this workshop are:
Issues that are motivated by the nonlinear geometry of Banach spaces but are applicable to more general metric spaces, including the Ribe program, Lipschitz extension, dimension reduction, Lipschitz-free spaces.
Algorithmic issues related to embedding theory, including nearest neighbor search, sketching, clustering, graph partitioning.
Embedding issues in the geometry of groups and (sub-)Riemannian geometry, including coarse geometry, Carnot groups, strong property (T).
