Configuration spaces of linkages

October 27 to October 31, 2014

at the

American Institute of Mathematics, San Jose, California

organized by

Brigitte Servatius and Meera Sitharam

Original Announcement

This workshop will be devoted to the study of configuration spaces of linkages consisting of rigid bars connected by revolute joints embedded in an ambient space of fixed dimension.

The main topics of the workshop are:

The last two items can be viewed from a combinatorial and geometric rigidity perspective, but also a distance geometry perspective, using Cayley-Menger semialgebraic sets or as projections and sections of the semidefinite Euclidean Distance Matrix cone.

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

A list of open problems.

Papers arising from the workshop:

Rigidity of frameworks on expanding spheres
by  Anthony Nixon, Bernd Schulze, Shin-ichi Tanigawa and Walter Whiteley
Anchored boundary conditions for locally isostatic networks
by  Louis Theran, Anthony Nixon, Elissa Ross, Mahdi Sadjadi, Brigitte Servatius and M. F. Thorpe,  Phys. Rev. E 92, 053306 – Published 30 November 2015