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12:15 pm

Combinatorics and representation theory of Temperley-Lieb algebras (Zajj Daugherty, CUNY)

October 1, 2019 @ 12:15 pm - 1:10 pm
Emmy Noether Room, Millikan 1021, Pomona College, 610 N. College Ave.
Claremont, California 91711
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The classical, one-boundary, and two-boundary Temperley-Lieb algebras arise in mathematical physics related to solving certain rectangular lattice models.They also have beautiful presentations as "diagram algebras", meaning that they have basis elements depicted as certain kinds of graphs, and multiplication rules are given by stacking diagrams and gluing of vertices. In this talk, we will explore […]

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3:00 pm

Topology Seminar: Jesse Levitt (USC)

October 1, 2019 @ 3:00 pm - 4:00 pm
Millikan 2099, Pomona College, 610 N. College Ave.
Claremont, CA 91711 United States
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Title: Understanding Structure in the Single Variable Knot Polynomials Abstract: We examine the dimensionality and internal structure of the aggregated data produced by the Alexander, Jones, and Z0 polynomials using topological data analysis and dimensional reduction techniques. By examining several families of knots, including over 10 million distinct examples, we find that the Jones data is well described as a three […]

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