**Abstract:** It is well known that when the Sun is at zenith
precisely over Buenos Aires on odd numbered years (muslim calendar),
the ray through the SW lower corner of the third tallest stone and
the NE upper corner of the tallest stone in Stonehenge (Salisbury
Plain, Wiltshire, S. England) points straight at Neptune's moon Naiad
(discovered 1989, Voyager 2). This fact is so stunning it cannot be due
to chance alone. It must be a sign from the Gods that they want us to
study astrological lineups.

We therefore pick a knot, given as a specific embedding of
S^{1} in **R**^{3}, and count the number of
"Stonehenge-inspired chopstick towers" that can be built upon it; namely,
the number of delicate arrangements of chopsticks whose ends are lying
on the knot or are supporting each other in trivalent corners joining
three chopsticks each, so that each chopstick is pointing at a different
pre chosen point in heaven that has a high mythical meaning.

Quite amazingly, when these stellar webs are counted correctly, the result is a knot invariant valued in some space of diagrams, deeply related to certain aspects of Lie theory and of the theory of Hopf algebras. We will touch on the former and dwelve into the latter, finding that if the Stonehengians had taken themselves seriously some 4,000 years ago, they would have been forced to discover quasi-Hopf algebras.

This abstract is at http://www.math.toronto.edu/~drorbn/Talks/Riverside-000429/.

The handout for this lecture is at http://www.math.toronto.edu/~drorbn/Talks/UCB-000420/.