This Workshop will take place in Burgos from 20 to 22 October 2016, and will focus on all aspects of integrable systems. The Workshop will honour Prof. Orlando Ragnisco in his 70th anniversary. Complete information can be found **here**.

# Poisson-Lie groups, bi-Hamiltonian systems and integrable deformations

Given a Lie-Poisson completely integrable bi-Hamiltonian system, in the new paper **arXiv:1609.07438** we present a method which allows us to construct, under certain conditions, a completely integrable bi-Hamiltonian deformation of the initial Lie-Poisson system on a non-abelian Poisson-Lie group. Moreover, we show that from the two multiplicative (Poisson-Lie) Hamiltonian structures that underly the dynamics of the deformed system and by making use of the non-abelian group law, one may obtain two completely integrable Hamiltonian systems on the direct product of the non-abelian group by itself. By construction, both systems admit reduction, via the multiplication in the non-abelian group, to the initial deformed bi-Hamiltonian system. The previous approach is applied to two relevant Lie-Poisson completely integrable bi-Hamiltonian systems: the Lorenz and Euler top systems.

# Seminar “Scattering in celestial mechanics”

Speaker:** Andreas Knauf (FAU Erlangen-Nürnberg)**

Date and time: September 27, 12:00 h

Place: Aula 24, Facultad de Ciencias

# Seminar “On Galois extensions of Hopf algebras”

Speaker:** Catherine Meusburger (FAU Erlangen-Nürnberg)**

Date and time: September 22, 12:00 h

Place: Aula 24, Facultad de Ciencias

# X Workshop of Young Researchers in Mathematics

We are very proud of announcing the X Workshop of Young Researchers in Mathematics to take place 19 to 23 of September in the Faculty of Mathematics at Universidad Complutense de Madrid. There will be major speakers like R. Hartshorne.

Please find further information about this event at __http://blogs.mat.ucm.es/wjm/__

# Seminar “Discretizing the Liouville equation by preserving the symmetries”

Speaker:** Decio Levi (Roma Tre University)**

Date and time: July 13, 17:00

Place: Seminario del Departamento de Física, Facultad de Ciencias

# On Hamiltonians with position-dependent mass from Kaluza-Klein compactifications

In a recent paper (J.R. Morris, Quant. Stud. Math. Found. 2 (2015) 359), an inhomogeneous compactification of the extra dimension of a five-dimensional Kaluza-Klein metric has been shown to generate a position-dependent mass (PDM) in the corresponding four-dimensional system. As an application of this dimensional reduction mechanism, a specific static dilatonic scalar field has been connected with a PDM Lagrangian describing a well-known nonlinear PDM oscillator. In this paper (**arXiv:1605.06829**) we present more instances of this construction that lead to PDM systems with radial symmetry, and the properties of their corresponding inhomogeneous extra dimensions are compared with the ones in the nonlinear oscillator model. Finally, it is shown that the compactification introduced in this type of models can alternatively be interpreted as a novel mechanism for the dynamical generation of curvature.