Configuration spaces of linkages
October 27 to October 31, 2014
American Institute of Mathematics,
Palo Alto, California
Brigitte Servatius and Meera Sitharam
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.
- the topology of configuration spaces of linkages
beyond polygons (for example, graphs of tree-width 2).
- the characterization of paths and reachability and algorithms for
computing paths and (and various continuous and discrete measures over
paths) in the configuration spaces of natural special classes of linkages.
- properties of real/complex configuration spaces of linkages that can be
generically determined by the graph of the linkage and appropriate
notion(s) of genericity
configuration spaces of geometric constraint systems that include
distance inequalities, for example representing "steric or collision
constraints" at molecular interfaces.
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: