Noticias Destacadas
 Agenda del Departamento |
- Información (provisional) sobre grupos y horarios de las asignaturas impartidas por el Departamento de Matemáticas, para el curso 2023-2024.
- Propuestas de Trabajos de Fin de Grado para el curso 2023-2024.
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Canal @matematicasuamEnlace al canal del Departamento en youtube. |
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PIM (Pequeño Instituto de Matemáticas)Con el objetivo de fomentar el interés por las matemáticas y dirigido a jóvenes entre 14 y 18 años, nace este proyecto de Instituto de Ciencias Matemáticas (ICMAT) en colaboración con nuestro Departamento, la Universidad Autónoma de Madrid y la Real Sociedad Matemática Española. El proyecto comienzó en el curso académico 2022-2023. Ampliar información en su página web. |
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Martes 21 de Enero, 11:15, Aula Gris 2, ICMAT
Jaime. J. Sáchez-Gabites (UAM)
Title: An algebraic question motivated by a problem in dynamics
Abstract: When a dynamical system has an attractor, the latter usually provides interesting information about the dynamics. Most attractors exhibit a rather complex structure which makes describing their full topological type extremely difficult. A more modest goal is to compute some useful topological invariants of the attractor such as (broadly speaking) its homology or homotopy type. This classical problem very often needs to be addressed indirectly, since attractors are not explicitly computable.
In this talk we will first discuss this problem in the case of continuous dynamics (that is, flows), where the solution is very simple. Then we will move on to the discrete case (dynamics generated by the iteration of a homeomorphism), which turns out to be much more complicated. The ultimate goal of the talk is to show how this dynamical problem eventually leads to an algebraic question that seems to have interest on its own.