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27/05/2020, 17:00 — 18:00 Europe/Lisbon — Instituto Superior Técnicohttp://tecnico.ulisboa.pt
Frederico Toulson, LisMath, Instituto Superior Técnico, Universidade de Lisboa

Homotopical Dynamics

In this presentation we will talk about some relations between algebraic topology and dynamical systems. We will explore the Flow type suspension and see that it agrees with the homotopical suspension for attractor-repeller homotopy data. Some other results will also be explored.

Bibliography:

[1] O. Cornea. Homotopical dynamics: Suspension and duality. Ergodic Theory and Dynamical Systems, 20(2), 379-391 (2000).

[2] J.F. Barraud, O. Cornea. Homotopical dynamics in symplectic homology. In: Biran P., Cornea O., Lalonde F. (eds) Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology. NATO Science Series II: Mathematics, Physics and Chemistry, vol 217 (2006), Springer.


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