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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.
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. As mathematicians
have strived to categorize knots they have developed a wide range
of techniques for representing and diagramming these enigmatic forms;
Dr Millett will explore the diversity of these methods which capture
the logic of knotty structures in images at once visually striking
and rigorously informed. Today, the insights of knot theory are
being bought to bear on understanding the structure of macromolecules
and to fundamental issues in theoretical physics, including string
theory.
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 can we determine if two seemingly disparate
knots might really be the same.
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