Seminar Calendar
for CSL/Math Seminar events the year of Monday, July 16, 2012.

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Tuesday, July 3, 2012

CSL/Math Seminar
11:30 am   in 141 CSL,  Tuesday, July 3, 2012
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Submitted by ymb.
Prof. Don Shimamoto (Swarthmore Math)
Topology of Configuration Spaces of Polygons in the Plane
Abstract: Consider closed chains, or "polygons," in the plane in which the vertices are free to move about as long as the lengths of the sides remain constant.  These objects have been studied in many disciplines, including computer science, engineering, and mathematics, especially over the last twenty years. The set of all configurations of the polygon is a topological space, and this talk is a survey of some of the basic topological techniques and results.  Within the space, there are polygons having special properties, and the talk closes with a discussion of the topological type of the spaces of convex and non-self-intersecting configurations.