Date:

Location:
POT 745
Speaker(s) / Presenter(s):
Zach Peterson
Title: Combinatorics of ConwayCoxeter Friezes and SL_kTilings
Abstract: In 1973, Conway and Coxeter published an article which introduced objects called friezes. In it they detailed several structural properties of these objects, including a bijection to triangulations of polygons. In more recent years, these ConwayCoxeter friezes and their higherdimensional analogues known as SL_ktilings have been studied due to their relation to cluster algebras. Tilings are arrays of integers whose adjacent submatrices have determinant 1. In the case of SL_2tilings, there is a bijection to paths in the Farey Graph. We prove that for higher k there is a bijection to certain sequences of kvectors.
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