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Algebra & Geometry Seminar

Speaker: Monica Garcia (Laboratoire d'Algèbre, de Combinatoire et d’Informatique Mathématique (LACIM))

Title: Infinite super friezes

Abstract: Super friezes were introduced by S. Morier-Genoud, V. Ovsienko, S. Tabachnikov as a supersymmetric analog of classical Coxeter friezes. They show analogous properties of classical friezes: they are determined by the first non-trivial even and odd quiddity rows, they satisfy linear recurrence relations, and exhibit glide symmetry when of finite width. Moreover, as shown by G. Musiker, N. Ovenhouse and S. Zhang, all finite width super friezes arise from a decorated triangulation of a polygon, where even entries correspond to $\lambda$-lengths of arcs, and odd entries to $\mu$-invariants of triangles in the polygon. In this talk, I will report on joint work with A. Burcroff, Ä°. Çanakçı, F. Fedele and V. Klász on how to construct infinite super friezes from decorated skeletal triangulations of annuli.