Braids, graphs, and robots
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Aaron Abrams
Department of Mathematics, University of Georgia
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Abstract:
A common technique for solving problems
involving lots of moving objects is to associate a
topological object called a ``configuration space''
to the problem. This talk will focus on the
configuration spaces associated to motions of several
particles on a graph. We will play with some examples
and hopefully get used to visualizing these spaces. Along
the way these spaces will exhibit some neat properties,
which are both mathematically interesting and useful for
solving related problems in robotics.
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