Abstract: From a triangulated surface, one can construct both a cluster algebra and a gentle algebra. Musiker–Schiffler–Williams and Geiß–Labardini-Fragoso–Schröer showed that cluster variables of the former coincide with Caldero-Chapoton functions of the latter. We will review this narrative and discuss how the statement can be extended to the case of a triangulated orbifold, using Chekhov–Shapiro’s generalization of a cluster algebra. This is based on separate joint work with Kelley and with Valdivieso.
Wednesday, 27.05.2026
| 14.00 to 15.30 h
|
M-Nachrichten
Oberseminar Algebra und Algebraische Geometrie: Esther Banaian (Paderborn): Generalized cluster variables and Caldero-Chapoton functions
Location: A3.339