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Seminários do IMPA

Álgebra

Título
String and band complexes over SAG algebras
Expositor
Pedro Rizzo

Universidad de Antioquia, Medellín, Colômbia
Data
Quarta-feira, 22 de janeiro de 2020, 16:00
Local
Sala 228
Resumo

In this talk I will explain a combinatorial description of a family of indecomposable objects in the bounded derived categories of string almost gentle (briefly SAG) algebras. These indecomposable objects are, up to isomorphism, the string and band objects introduced by V. Bekkert and H. Merklen in their well-known classification of the indecomposable complexes over the bounded derived category of a gentle algebra. With this description, we give a sufficient condition for a given string complex to have infinite minimal projective resolution, and we extend this condition for the case of string algebras. This is joint work with Andrés Franco and Hernán Giraldo.