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On Hairdos, Polynomials, and the Shape of the Universe

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If you have a question about this talk, please contact Kasia Warburton.

Take a finite number of strings (e.g. locks of hair) affixed to an immobile object (e.g. a head) and start crossing them over and under each other in various patterns. What do you get? A braid! Who cares? Mathematicians! I’ll tell you what braids have to do with complex polynomials and how you can use them to construct new 3-dimensional spaces from old.

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