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Frieze patterns with coefficients
05 Dec
05. December 2019
Oberseminar zur Algebra und Algebraischen Kombinatorik

Frieze patterns with coefficients

(Joint work with M. Cuntz and P. Jorgensen) Frieze patterns, as introduced by Coxeter in the 1970’s, are closely related to cluster algebras without coefficients. A suitable generalization of frieze patterns, linked to cluster algebras with coefficients, has only briefly appeared in an unpublished manuscript by Propp. In this talk I will report on a systematic study of these frieze patterns with coefficients and their fundamental properties, generalizing classic results for frieze patterns. As a consequence, frieze patterns with coefficients can be obtained from classic frieze patterns by cutting out subpolygons from the triangulated polygons associated to classic Conway-Coxeter frieze patterns. We address the question of which frieze patterns with coefficients can be obtained in this way and present a complete solution of this problem for triangles.

Speaker

Prof. Dr. Thorsten Holm (Leibniz Universität Hannover)

Organiser

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Date

05. December 2019
14:15 o'clock - 15:45 o'clock

Public contact

Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Welfengarten 1
30167 Hannover
Tel.: 762-3337
Fax: 762-5490
sekretariat-d@math.uni-hannover.de

Location

Hauptgebäude
Building: 1101
Room: a410
Welfengarten 1
30167 Hannover
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