Open Neighborhood Seminar: Knots, tangles, braids, and rational numbers


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November 15, 2023 4:30 pm - 5:30 pm
Science Center 507
Address: 1 Oxford Street, Cambridge, MA 02138 USA

Joshua Wang - MIT

The subject of knot theory concerns the phenomena of "knotting", "tangling", and "braiding", investigated from a mathematical point of view. I'll discuss a family of tangles called rational tangles and the related concepts of 2-bridge knots and plat closures of 4-braids. Rational tangles are named after John Conway's remarkable classification of them: they admit a natural one-to-one correspondence with the rational numbers (and infinity).