Flat connections, geometric invariants and energy of harmonic functions on compact Riemann surfaces

A geometric invariant is associated to the space of fiat connections on a G-bundle over a compact Riemann surface and is related to the energy of harmonic functions.

Unitary invariants for Hilbert modules of finite rank

We associate a sheaf model to a class of Hilbert modules satisfying a natural finiteness condition. It is obtained as the dual to a linear system of Hermitian vector spaces (in the sense of Grothendieck). A refined notion of curvature is derived from this construction leading to a new unitary invariant for the Hilbert module. A division problem with bounds, originating in Douady's privilege, is related to this framework. A series of concrete computations illustrate the abstract concepts of the paper.

Establishment of an in vitro transcription system for Peste des petits ruminant virus

Background: Peste-des-petits ruminants virus (PPRV) is a non segmented negative strand RNA virus of the genus Morbillivirus within Paramyxoviridae family. Negative strand RNA viruses are known to carry nucleocapsid (N) protein, phospho (P) protein and RNA polymerase (L protein) packaged within the virion which possess all activities required for transcription, post-transcriptional modification of mRNA and replication. In order to understand the mechanism of transcription and replication of the virus, an in vitro transcription reconstitution system is required. In the present work, an in vitro transcription system has been developed with ribonucleoprotein (RNP) complex purified from virus infected cells as well as partially purified recombinant polymerase (L-P) complex from insect cells along with N-RNA (genomic RNA encapsidated by N protein) template isolated from virus infected cells. Results: RNP complex isolated from virus infected cells and recombinant L-P complex purified from insect cells was used to reconstitute transcription on N-RNA template. The requirement for this transcription reconstitution has been defined. Transcription of viral genes in the in vitro system was confirmed by PCR amplification of cDNAs corresponding to individual transcripts using gene specific primers. In order to measure the relative expression level of viral transcripts, real time PCR analysis was carried out. qPCR analysis of the transcription products made in vitro showed a gradient of polarity of transcription from 3' end to 5' end of the genome similar to that exhibited by the virus in infected cells. Conclusion: This report describes for the first time, the development of an in vitro transcription reconstitution system for PPRV with RNP complex purified from infected cells and recombinant L-P complex expressed in insect cells. Both the complexes were able to synthesize all the mRNA species in vitro, exhibiting a gradient of polarity in transcription.

Floquet generation of Majorana end modes and topological invariants

We show how Majorana end modes can be generated in a one-dimensional system by varying some of the parameters in the Hamiltonian periodically in time. The specific model we consider is a chain containing spinless electrons with a nearest-neighbor hopping amplitude, a p-wave superconducting term, and a chemical potential; this is equivalent to a spin-1/2 chain with anisotropic XY couplings between nearest neighbors and a magnetic field applied in the (z) over cap direction. We show that varying the chemical potential (or magnetic field) periodically in time can produce Majorana modes at the ends of a long chain. We discuss two kinds of periodic driving, periodic delta-function kicks, and a simple harmonic variation with time. We discuss some distinctive features of the end modes such as the inverse participation ratio of their wave functions and their Floquet eigenvalues which are always equal to +/- 1 for time-reversal-symmetric systems. For the case of periodic delta-function kicks, we use the effective Hamiltonian of a system with periodic boundary conditions to define two topological invariants. The first invariant is a well-known winding number, while the second invariant has not appeared in the literature before. The second invariant is more powerful in that it always correctly predicts the numbers of end modes with Floquet eigenvalues equal to + 1 and -1, while the first invariant does not. We find that the number of end modes can become very large as the driving frequency decreases. We show that periodic delta-function kicks in the hopping and superconducting terms can also produce end modes. Finally, we study the effect of electron-phonon interactions (which are relevant at finite temperatures) and a random noise in the chemical potential on the Majorana modes.

Flag structure for operators in the Cowen-Douglas class

The explicit description of homogeneous operators and localization of a Hilbert module naturally leads to the definition of a class of Cowen-Douglas operators possessing a flag structure. These operators are irreducible. We show that the flag structure is rigid in the sense that the unitary equivalence class of the operator and the flag structure determine each other. We obtain a complete set of unitary invariants which are somewhat more tractable than those of an arbitrary operator in the Cowen-Douglas class. (C) 2014 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

Renormalization group invariants and sum rules in the deflected mirage mediation supersymmetry breaking

We examine the deflected mirage mediation supersymmetry breaking (DMMSB) scenario, which combines three supersymmetry breaking scenarios, namely anomaly mediation, gravity mediation and gauge mediation using the one-loop renormalization group invariants (RGIs). We examine the effects on the RGIs at the threshold where the gauge messengers emerge, and derive the supersymmetry breaking parameters in terms of the RGIs. We further discuss whether the supersymmetry breaking mediation mechanism can be determined using a limited set of invariants, and derive sum rules valid for DMMSB below the gauge messenger scale. In addition we examine the implications of the measured Higgs mass for the DMMSB spectrum.

Destin ou Destinée dans un contexte de fragmentation psychologique et sociale chez des jeunes mineurs isolés, immigrés d’Afrique Noire

Résumé: Cet article questionne la vision psychodynamique et psychosociale dans le parcours de vie de jeunes immigrés africains, vulnérables, placés en Maison d’Enfants à Caractère Social. Ce placement propose une formation professionnelle ou la poursuite des études, formations indispensables pour rester en France à condition de disposer de papiers en règle. La problématique de la fragmentation psychique et sociale chez ces jeunes dont le processus développemental est marqué par l’exil sera interrogée au regard des concepts tels que Destin et Destinée. Cette dernière sera aussi questionnée à la lumière du rôle et de la valeur du travail chez ces jeunes évoluant dans un nouveau contexte socio-économico-culturel qui tend à les stigmatiser. Par l’intermédiaire des données verbales et non verbales issues d’entretiens psychologiques, d’un groupe de parole et d’une grille d’observation inspirée d’un questionnaire, nous proposons une analyse des trajectoires personnelles au regard d’un processus d’identification. Cette analyse permet déjà d’aller au-delà des caractéristiques individuelles et de mettre en exergue le rôle capital qu’incarne le travail pour asseoir une identité sociale et sortir de l’état intemporel d’exil

La souffrance émotionnelle des personnels d’intervention : résultats préliminaires de l’étude sur la santé et la qualité de vie au travail dans les métiers du secteur de l’aide et du soin à domicile

Resumen: La prolongación de la edad y el aumento de la expectativa de vida han hecho surgir nuevas necesidades de atención para las personas ancianas y ello ha inducido a la ampliación de las prestaciones de servicios a domicilio. En este sentido, el trabajo de estos profesionales de intervención a domicilio, así como sus misiones, están en plena mutación. Es un sector con dificultades, debido a la dificultad de reclutar un personal especializado y al absentismo inquietante. Después de un análisis sobre el estado de este sector de la profesión en el que se establece la diferencia entre el enfoque físico y el psicológico sobre la salud, nuestra reflexión se centra en los riesgos psicosociales de esta población de profesionales. Se presentan los resultados preliminares de la investigación realizada con una muestra de 38 personas que ejercían laboralmente en este sector. Emerge la expresión de un sufrimiento emocional, en la que el aislamiento de los participantes es uno de los factores que caracterizan los oficios identificados con una fuerte dimensión relacional con personas vulnerables. La dimensión asistencial del trabajo se presenta como fuente de satisfacción del oficio pero, a su vez, puede conducir a una dificultad de gestionar acontecimientos no previstos