In this week, Prof. Ron Umble and the people of the research group TopRec (USE) will gather together to generate workplans for future potential research projects having as compulsory ingredients: computational algebraic topology and nD digital image processing. Particularly, we focus on recent results of Prof. Umble about computation of A(infinity)-coalgebra structures on the homology of orientable and non-orientable compact surfaces and the possibility to apply this formulation to a general Digital Image context. This seminar is open to any researcher interested in these topics.
Schedule for the brainstorming:
Monday[10:00-14:0]: Introduction to cell complexes from a programming viewpoint.
Tuesday[10:00-14:00]: Chain complexes and Algebraic-Topological Models. SAGE and Python Implementations
Wednesday [10:00-14:00]: Digital Images as cell complexes. Implementation
Thursday [10:00-14:00]: (Co)-algebra structures in (co)homology. Implementation
Friday [10:00-14:00]: A(\infty)-(co)algebra structures in (co)homology. Implementation
Activity supported by Plan Propio de la Universidad de Sevilla (Profesores Visitantes) and IMUS