On the linearization theorem for proper Lie groupoids

We revisit the linearization theorems for proper Lie groupoids around general orbits (statements and proofs). In the the fixed point case (known as Zung's theorem) we give a shorter and more geometric proof, based on a Moser deformation argument. The passing to general orbits (Weinstein) is given a more conceptual interpretation: as a manifestation of Morita invariance. We also clarify the precise conditions needed for the theorem to hold (which often have been misstated in the literature).Comment: 19 pages; few comments added; final version to appear in Ann. Sci. \'Ecole Norm. Su

A case of web-based collaborative inquiry learning using OpenLearn technologies

We describe and discuss the implementation of “WOPP in Cyberculture”, an elective discipline of the Erasmus Mundus’ European Master Program on Work, Organization and Personnel Psychology (WOPP), offered by the Faculty of Psychology, University of Coimbra, in 2008. We adopted a web-based collaborative inquiry-learning model supported by UK Open University’s OpenLearn technologies: a community-led virtual learning environment based on Moodle called LabSpace, and a knowledge mapping software called Compendium. Rubrics were used to assess students’ maps and presentations. To assess students’ satisfaction and opinion, at the end of the course we applied an evaluation questionnaire. Results indicate that the implementation of the web-based inquiry-learning model we have proposed was relatively successful and adequate to the learning setting. Rubrics’ scores point to an overall improvement of students’ maps and presentations. Reports on students’ satisfaction with different aspects of the course were positive. Nevertheless, further investigation on the validity and reliability of the rubrics is required

A survey on stability and rigidity results for Lie algebras

We give simple and unified proofs of the known stability and rigidity results for Lie algebras, Lie subalgebras and Lie algebra homomorphisms. Moreover, we investigate when a Lie algebra homomorphism is stable under all automorphisms of the codomain (including outer automorphisms).Comment: 20 page

Anopheline salivary protein genes and gene families: an evolutionary overview after the whole genome sequence of sixteen Anopheles species

Background: Mosquito saliva is a complex cocktail whose pharmacological properties play an essential role in blood feeding by counteracting host physiological response to tissue injury. Moreover, vector borne pathogens are transmitted to vertebrates and exposed to their immune system in the context of mosquito saliva which, in virtue of its immunomodulatory properties, can modify the local environment at the feeding site and eventually affect pathogen transmission. In addition, the host antibody response to salivary proteins may be used to assess human exposure to mosquito vectors. Even though the role of quite a few mosquito salivary proteins has been clarified in the last decade, we still completely ignore the physiological role of many of them as well as the extent of their involvement in the complex interactions taking place between the mosquito vectors, the pathogens they transmit and the vertebrate host. The recent release of the genomes of 16 Anopheles species offered the opportunity to get insights into function and evolution of salivary protein families in anopheline mosquitoes. Results: Orthologues of fifty three Anopheles gambiae salivary proteins were retrieved and annotated from 18 additional anopheline species belonging to the three subgenera Cellia, Anopheles, and Nyssorhynchus. Our analysis included 824 full-length salivary proteins from 24 different families and allowed the identification of 79 novel salivary genes and re-annotation of 379 wrong predictions. The comparative, structural and phylogenetic analyses yielded an unprecedented view of the anopheline salivary repertoires and of their evolution over 100 million years of anopheline radiation shedding light on mechanisms and evolutionary forces that contributed shaping the anopheline sialomes. Conclusions: We provide here a comprehensive description, classification and evolutionary overview of the main anopheline salivary protein families and identify two novel candidate markers of human exposure to malaria vectors worldwide. This anopheline sialome catalogue, which is easily accessible as hyperlinked spreadsheet, is expected to be useful to the vector biology community and to improve the capacity to gain a deeper understanding of mosquito salivary proteins facilitating their possible exploitation for epidemiological and/or pathogen-vector-host interaction studies

Lie Algebroids and Classification Problems in Geometry

We show how one can associate to a given class of finite type G-structures a classifying Lie algebroid. The corresponding Lie groupoid gives models for the different geometries that one can find in the class, and encodes also the different types of symmetry groups.Comment: 16 pages; research announcement; final version to appear in Sao Paulo Journal of Mathematical Science