Seminário de Álgebras de Hopf e Categorias Monoidais
10/09/2025 11:28
Quantum Combinatorics. Part II: Quantum Graphs
Prof. Dr. Tomasz Maszczyk (University of Warsaw, Poland)
Abstract: We show that in our topos of quantum sets, one can speak about quantum quivers in the sense of Day-Street and Chikhladze. Then, we provide a categorical derivation of the Leavitt path algebra of such a quantum quiver and relate it to the category of stable representations of the quiver. It is based on a categorification of the Cuntz-Pimsner algebra in the context of functor adjunctions, replacing the customary use of Hilbert modules in the context of C*-algebras. Finally, we discuss the functoriality of our construction.
Data e Horário: Segunda feira, dia 15 de setembro de 2025, 16h
Local: Auditório Airton Silva, Departamento de Matemática – MTM /CFM