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Friday, November 30, 2018
12:00 PM - 1:00 PM
Linde Hall 255

Math Graduate Student Seminar

String Diagrams, a graphical calculus for Monoidal Categories
Angus Gruen, Department of Mathematics, Caltech,
Given a monoidal category we can represent morphisms in the category using beads on strings and further structure on the monoidal category (e.g. braided, rigid, ribbon, ...) can be encoded as geometrical properties on these strings. Given a ribbon monoidal category its string diagrams naturally give rise to a family link invariants indexed by objects in the category. I will give a construction of the Temperley-Lieb category whose string diagram calculus produces the Jones Polynomial.
For more information, please phone 626-395-4335 or email [email protected].