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generalization of frieze patterns, linked to cluster algebras with coefficients, has only briefly appeared in an unpublished manuscript by Propp.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 201914:15 o'clock - 15:45 o'clock
Public contact
Institut für Algebra, Zahlentheorie und Diskrete MathematikWelfengarten 1
30167 Hannover
Tel.: 762-3337
Fax: 762-5490
sekretariat-d@math.uni-hannover.de
Location
HauptgebäudeBuilding: 1101
Room: a410
Welfengarten 1
30167 Hannover