July 26, 2012
Collins Conference Room
Louis Theran (Freie Universität Berlin)
Abstract. Bar-joint frameworks are structures made out of fixed-length bars connected by joints with full rotational freedom. Questions such as whether a framework can be moved in any way besides translating and rotating it as a single rigid object, and, if not, what the allowed motions are, arise in a wide variety of practical problems such as sensor network localization, protein analysis, robotics, crystallography, and analysis of network glasses. Combinatorial rigidity is concerned with what properties of frameworks can be deduced by looking at only the graph made by the bars. In dimension 2, this is well-understood, while in higher dimensions, the analogous questions are long-standing open problems.
I'll describe the basic ideas of the field and some recent advances.
Purpose: Resident Faculty
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