Graph rigidity and measurement varieties

Abstract: Geometric rigidity theory is concerned with how much information about a configuration p of n points in a d-dimensional Euclidean space is determined by pairwise Euclidean distance measurements, indexed by the edges of a graph G with n vertices. One can turn this around, and, define, for a fixed graph G, a “measurement variety" associated with all possible edge lengths measurements as the configuration varies. I’ll survey some (somewhat) recent results in geometric rigidity obtained by studying the geometry of measurement varieties.

algebraic geometrymetric geometry

Audience: researchers in the topic

Max Planck Institute nonlinear algebra seminar online

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