for this workshop
Metric embeddings
at the
American Institute of Mathematics, Pasadena, California
organized by
Alexandros Eskenazis, Assaf Naor, and Seung-Yeon Ryoo
This workshop, sponsored by AIM, the NSF, and 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).
Lectures at the workshop will be focused on familiarizing the participants with the background material and recent results, and the schedule will include discussion and parallel working sessions.
Space and funding is available for a few more participants. If you would like to participate, please apply by filling out the on-line form no later than February 25, 2025. Applications are open to all, and we especially encourage women, underrepresented minorities, junior mathematicians, and researchers from primarily undergraduate institutions to apply.
Before submitting an application, please read the description of the AIM style of workshop.
For more information email workshops@aimath.org
