Thursday, 28th December 2006, 4:00 pm

Mathematics Building, Lecture Hall 2

Dror Bar-Natan

(University of Toronto)

"Algebraic Knot Theory"

** Abstract: ** The right object of study in algebraic
topology is not spaces, but rather, "spaces and maps between
them". In a similar spirit I will argue that the right
things to study in knot theory are not knots, but rather,
"knotted trivalent graphs", as in the world of knotted
trivalent graphs (and the basic operations between them)
many interesting properties of honest knots become
"definable". Thus I find myself again studying the good old
Kontsevich integral - the best example I know of an
algebraic knot theory - but my perspective this time is
completely different.

Light refreshments will be served in the faculty lounge at 3:30.

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