Management of active ageing in France in businesses: Some case-studies

If some European countries started work on age management long ago, several reports confirmed the urgency and the complexity of age management in France. The low participation of French older workers in the labour market was the result of premature exclusion, within a context of high unemployment and industrial restructuring. Discrimination concerning access to jobs and training persists with regard to older workers. The management of ages is not yet something from which enterprises could expect a return, because of the socio-cultural negative perceptions and image of older workers. Nevertheless, some companies start to implement innovative initiatives and test new solutions for promoting active ageing. This article brings some examples of those experiences and concludes with the necessity to reconciliate “age, work and training” to favour social links and better sharing between generations promoting “aging, living and working well together”.older workers, work, human resource management, inter-generational links

Quantum Drinfeld Modules II: Quantum Exponential and Ray Class Fields

This is the second in a series of two papers presenting a solution to Manin's Real Multiplication program \cite{Man} in positive characteristic. If $K$ is a quadratic and real extension of $\mathbb{F}_{q}(T)$ and $\mathcal{O}_{K}$ is the integral closure of $\mathbb{F}_{q}[T]$ in $K$, we associate to each modulus $\mathfrak{M}\subset \mathcal{O}_{K}$ the {\it unit narrow ray class field} $K^{\mathfrak{M}}$: a class field containing the narrow ray class field, whose class group contains an additional contribution coming from $\mathcal{O}^{\times}_{K}$. For $f\in K$ a fundamental unit, we introduce the associated {\it quantum Drinfeld module} $\rho^{\rm qt}_{f}$ of $f$: a generalization of Drinfeld module whose elements are multi-points. The main theorem of the paper is that $$K^{\mathfrak{M}}=H_{\mathcal{O}_{K}} ( {\sf Tr}(\rho^{\rm qt}_{f}[\mathfrak{M}]), {\sf Tr}(\rho^{\rm qt}_{f^{-1}}[\mathfrak{M}]))$$ where $H_{\mathcal{O}_{K}}$ is the Hilbert class field of $\mathcal{O}_{K}$ and ${\sf Tr}(\rho^{\rm qt}_{f}[\mathfrak{M}])$, ${\sf Tr}(\rho^{\rm qt}_{f^{-1}}[\mathfrak{M}])$ are the groups of traces of $\mathfrak{M}$ torsion points of $\rho^{\rm qt}_{f}$, $\rho^{\rm qt}_{f^{-1}}$.Comment: 41 page

Modular Invariant of Quantum Tori II: The Golden Mean

In our first article in this series ("Modular Invariant of Quantum Tori I: Definitions Nonstandard and Standard" arXiv:0909.0143) a modular invariant of quantum tori was defined. In this paper, we consider the case of the quantum torus associated to the golden mean. We show that the modular invariant is approximately 9538.249655644 by producing an explicit formula for it involving weighted versions of the Rogers-Ramanujan functions