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In mathematical lore, a topologist is a person who can’t
tell the difference between a coffee cup and a donut, both objects
being topologically the same. Of the many things topologists strive
to categorize, one of the more enigmatic is knots. Though knotting
is one of humanity’s oldest and most widespread activities,
being documented in almost every culture on earth, at first glance
it seems an unlikely subject for the formalisms of mathematics.
But at the end of the nineteenth century mathematicians began to
classify these twisted and braided forms, leading to a vast taxonomy
of the species, whose members include the unknot, ideal knots, tame
knots and wild knots.
Today, the insights of knot theory are being bought to bear on problems
in biology and chemistry, specifically to understanding the structure
of DNA and other macromolecules such proteins and polymers, and
to fundamental issues in theoretical physics, where “string
theory” proposes that all matter is composed of knot-like
contortions in spacetime. In this lecture, Dr. Ken Millett, a leading
knot theorist and professor of mathematics at the University of
California, Santa Barbara, will discuss the history, theory, and
taxonomy of knots. The event will include hands-on activities making
knots and attempting to answer such questions as how much rope is
required to make a specific knot, and how we determine if two seemingly
disparate knots might really be the same.
After the lecture please join us for a reception at the
Museum of Jurassic Technology, two blocks away. The Museum has recently
opened its wonderful new exhibition on string figures.
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