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How to draw an algebraic set

Student-Run Geometry/Topology Seminar

Speaker: Michael Kapovich, UC Davis
Location: 2112 MSB
Start time: Tue, Apr 5 2011, 12:10PM

I will explain how to prove that given any compact affine real algebraic set V, one can construct a planar mechanical linkage L whose configuration space is Nash-isomorphic to a finite collection of disjoint copies of V. In particular, given any finite connected planar real-algebraic curve C, one can construct L that would "draw" C.