Correo Interno

Generic bases for surface cluster algebras

Ponente: Christof Geiss
Institución: IM-UNAM
Tipo de Evento: Investigación, Formación de Recursos Humanos
Cuándo 02/03/2020
de 16:30 a 18:00
Dónde Salón 1 de seminarios
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This is a report on joint work with D. Labardini-Fragoso and J. Schröer. We show that for most marked surfaces with non-empty boundary,  the generic CC-functions form a basis of the corresponding cluster algebras for any choice of geometric coefficients. For surfaces without punctures the τ-reduced components of the corresponding gentle Jacobian algebra are naturally parametrized by X-laminations of the surface, and it is easy to see that for principal coefficients the generic basis coincides with the MSW-bangle basis.