Geometry of large networks

October 31 to November 4, 2011

at the

American Institute of Mathematics, Palo Alto, California

organized by

Yuliy Baryshnikov, Francis Bonahon, and Edmond Jonckheere

This workshop, sponsored by AIM and the NSF, is devoted to geometric models of large networks. It intends to bring together mathematicians, computer scientists and engineers.

The workshop has two main goals. One is to publicize the wealth of information accumulated by the mathematical community in the general areas of negatively curved spaces and geometric group theory, and to bring this scientific corpus to the attention of network scientists. The other goal is to give to the latter community a chance to educate mathematicians about the challenges arising in real-life large-scale networks, in particular about those that could be addressed in terms of asymptotic geometry.

The hop-distance metric, or some weighted version of it turns the network into a metric space. Rescaling and focusing on the Gromov-Hausdorff limits of the corresponding spaces then provides information on the large-scale geometry of the network. We are particularly interested in the cases where these geometries have negative curvature, such as Gromov hyperbolicity or CAT(-r) comparison properties, and on the potential implications of these properties for the networks considered.

The main themes of the workshop will include:

The workshop will differ from typical conferences in some regards. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.

The deadline to apply for support to participate in this workshop has passed.

For more information email

Plain text announcement or brief announcement.

Go to the American Institute of Mathematics.
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