[Com-top_seminars] Charla L-fuzzy simplicial homology - Javier Perera

[MANUEL SORIANO TRIGUEROS]

Buenos días a todos y todas.

El predoc Javier Perera Lago - miembro de cimagroup - dará una charla el próximo martes 28 de abril para presentarnos su último trabajo junto a otros miembros del grupo.

Título: L-fuzzy simplicial homology
Lugar: Seminario del departamento de Matemática Aplicada I, ETSII (B2.85)
Hora: 12:40
Fecha: 28 de abril de 2026
idioma: castellano

Resumen
Simplicial homology is a standard tool in algebraic topology that assigns a sequence of modules to a simplicial complex. Some of its extensions such as persistent homology play a central role in Topological Data Analysis (TDA). In this talk, we introduce L-fuzzy simplicial homology, a generalization of simplicial homology for L-fuzzy subcomplexes. We will present its definition and main properties and describe a computational approach for determining its structure.  This framework establishes a new bridge between TDA and fuzzy sets theory, allowing topological methods to be applied in contexts involving graded or labelled data, such as chromatic datasets.

Saludos,
--

Manuel Soriano Trigueros
Prof. Ayudante Doctor / Assistant Professor

Dpto de Ciencias de la Computación e Inteligencia Artificial
Universidad de Sevilla
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