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Presented By: Student Combinatorics Seminar - Department of Mathematics

Web-matching duality in degree 2

Veronica Lang

Webs are special classes of planar bipartite graphs with boundary, and vector spaces of webs are representations of GL_n. In 2022, Chris Fraser constructed a map between the reduced SL_2 webs of degree k and a collection of SL_k webs of degree 2, giving a natural basis for the space of SL_k webs of degree 2. In this talk, we will define webs and their associated web polynomials and discuss Fraser’s construction.

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