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Seminar

GTC Postdoc Seminar: The rigidity theory of frameworks of polytopes November 03, 2017 (12:45 PM PDT - 01:30 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Hailun Zheng (MSRI - Mathematical Sciences Research Institute)
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In 1766, Euler conjectured that any closed spatial figure allows no change, as long as it is not ripped apart. The essence of this conjecture is indeed "rigidity": loosely speaking, a framework is rigid if any perturbation of it which preserves the lengths of the edges is induced by an isometry of the space. 

With such a simple definition, framework rigidity remains one of the most powerful tools in studying the lower bounds of face numbers of polytopes. In this talk, I will give basic definitions and results in the rigidity theory of frameworks, and then discuss its connection to the f-vector theory of polytopes. No preliminaries are required.

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