BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Rigidity and flexibility of periodic frameworks: Recent progress and open questions Schulze, Bernd


Rigidity Theory is concerned with the rigidity and flexibility analysis of bar-joint frameworks and related constraint systems of geometric objects. This area has a rich history which can be traced back to classical work of Euler, Cauchy and Maxwell on the rigidity of polyhedra and skeletal frames. In the first part of this talk I will give an introduction to the theory of local and global rigidity of bar-joint frameworks and related structures such as body-bar and body-hinge frameworks, and provide an overview of the key results. In the second part of the talk I will discuss the recent progress on extending these results to infinite periodic frameworks. I will also discuss some key open questions in this area, some of which have potential applications in crystallography, materials science and condensed matter physics.

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