Abstract A cluster modular group is a symmetry group of the theory of cluster algebras. An element is called a ''mutation loop''. I and T. Ishibashi introduced the notion of sign stability of the mutation loops as a generalization of the pseudo-Anosovness of the mapping classes. In this talk, I will define the autoequivalences of the derived category of the Ginzburg dg algebra of a quiver with ...
Record: YesLevel: GraduateLanguage: ChinesePrerequisiteAlgebraic TopologyAbstractTopological data analysis is a new-born research area that explores topological approaches in data science, where persistent homology has been proved as an effective mathematical tool in data analytics with various successful applications. This course will discuss the mathematical foundations of (higher) topologica...