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How to draw an algebraic set
Student-Run Geometry/Topology| Speaker: | Michael Kapovich, UC Davis |
| Location: | 2112 MSB |
| Start time: | Tue, Apr 5 2011, 12:10PM |
Description
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.