The supercuspidal representations of p-adic classical groups

Let G be a unitary, symplectic or special orthogonal group over a locally compact non-archimedean local field of odd residual characteristic. We construct many new supercuspidal representations of G, and Bushnell-Kutzko types for these representations. Moreover, we prove that every irreducible supercuspidal representation of G arises from our constructions.Comment: 55 pages -- minor changes from 1st version (mostly in sections 2.2, 4.2 and 6.2). To appear in Inventiones mathematicae, 2008 (DOI is not yet active as at 12 Nov 2007

Endothelial Progenitors Exist within the Kidney and Lung Mesenchyme

The renal endothelium has been debated as arising from resident hemangioblast precursors that transdifferentiate from the nephrogenic mesenchyme (vasculogenesis) and/or from invading vessels (angiogenesis). While the Foxd1-positive renal cortical stroma has been shown to differentiate into cells that support the vasculature in the kidney (including vascular smooth muscle and pericytes) it has not been considered as a source of endothelial cell progenitors. In addition, it is unclear if Foxd1-positive mesenchymal cells in other organs such as the lung have the potential to form endothelium. This study examines the potential for Foxd1-positive cells of the kidney and lung to give rise to endothelial progenitors. We utilized immunofluorescence (IF) and fluorescence-activated cell sorting (FACS) to co-label Foxd1-expressing cells (including permanently lineage-tagged cells) with endothelial markers in embryonic and postnatal mice. We also cultured FACsorted Foxd1-positive cells, performed in vitro endothelial cell tubulogenesis assays and examined for endocytosis of acetylated low-density lipoprotein (Ac-LDL), a functional assay for endothelial cells. Immunofluorescence and FACS revealed that a subset of Foxd1-positive cells from kidney and lung co-expressed endothelial cell markers throughout embryogenesis. In vitro, cultured embryonic Foxd1-positive cells were able to differentiate into tubular networks that expressed endothelial cell markers and were able to endocytose Ac-LDL. IF and FACS in both the kidney and lung revealed that lineage-tagged Foxd1-positive cells gave rise to a significant portion of the endothelium in postnatal mice. In the kidney, the stromal-derived cells gave rise to a portion of the peritubular capillary endothelium, but not of the glomerular or large vessel endothelium. These findings reveal the heterogeneity of endothelial cell lineages; moreover, Foxd1-positive mesenchymal cells of the developing kidney and lung are a source of endothelial progenitors that are likely critical to patterning the vasculature. © 2013 Sims-Lucas et al

Irreducible characters of GSp(4, q) and dimensions of spaces of fixed vectors

In this paper, we compute the conjugacy classes and the list of irreducible characters of GSp(4,q), where q is odd. We also determine precisely which irreducible characters are non-cuspidal and which are generic. These characters are then used to compute dimensions of certain subspaces of fixed vectors of smooth admissible non-supercuspidal representations of GSp(4,F), where F is a non-archimedean local field of characteristic zero with residue field of order q.Comment: 48 pages, 21 tables. Corrected an error in Table 16 for type V* representations (theta_11 and theta_12 were switched

The nature and prevalence of psychological problems in New Zealand primary healthcare: a report on Mental Health and General Practice Investigation ( MaGPIe)

Aims This paper describes the methods used in a study of the prevalence and types of common mental disorders among patients attending New Zealand general practices, and reports some key findings from the first phase of the study. The study also aimed to determine the degree of associated disability and other factors influencing recognition, management, course and outcome of these disorders, and subsequent papers will address these issues. Methods General practitioners (GPs) were selected randomly. In the first phase of the study, all adult attenders at each practice on selected days were administered a short questionnaire, the General Health Questionnaire (GHQ-12), which screens for psychological symptoms. The GP recorded the reasons for each consultation, and was interviewed at the end of each day about selected patients to determine their opinion about the type of psychological problems experienced. Selected patients were then visited in their own homes and an extensive interview conducted, which included the Composite International Diagnostic Interview (CIDI) to determine mental health status, the World Health Organization’s Disability Assessment Schedule (WHODAS) to determine disability, and a detailed exploration of use of health services. In the second phase of the study, patients were contacted by telephone at three, six, nine and 12 months, and both patients and GPs were re-interviewed at 12 months. Results The study achieved a very high response rate among the GPs (90%). Nearly all eligible patients (93%) completed the GHQ screening, and their response rate was 70% for the first-phase interview. GPs thought that 54% of female and 46% of male patients had experienced some level of psychological problems in the past year. GHQ screening also found that more than half of those attending their general practitioner experienced some psychological symptoms at initial screening, and the CIDI interview found that more than one in three had a diagnosable mental disorder during the past 12 months. The most common mental disorders were depressive, anxiety and substance use disorders. These disorders were more common among younger than older general practice attenders, and comorbidity was high. Conclusions Mental health problems are very common among general practice attenders. Contrary to the prevailing view that general practitioners seldom identify psychological problems in their patients, they identified about half their patients as having some type of psychological problems in the past year, although they considered that these were moderate or severe in about only one in ten patients. Further work from this large New Zealand study will focus on the nature of the relationship between disorder and disability, and on the recognition, management and outcome of psychological problems

Different forms of TFIIH for transcription and DNA repair: Holo-TFIIH and a nucleotide excision repairosome

AbstractYeast TFIIH that is active in transcription can be dissociated into three components: a 5-subunit core, the SSL2 gene product, and a complex of 47 kDa, 45 kDa, and 33 kDa polypeptides that possesses protein kinase activity directed towards the C-terminal repeat domain of RNA polymerase II. These three components can reconstitute fully functional TFIIH, and all three are required for transcription in vitro. By contrast, TFIIH that is highly active in nucleotide excision repair (NER) lacks the kinase complex and instead contains the products of all other genes known to be required for NER in yeast: RAD1, RAD2, RAD4, RAD10, and RAD14. This repairosome is not active in reconstituted transcription in vitro and is significantly more active than any of the constituent polypeptides in correcting defective repair in extracts from strains mutated in NER genes

The subconvexity problem for \GL_{2}

Generalizing and unifying prior results, we solve the subconvexity problem for the $L$-functions of \GL_{1} and \GL_{2} automorphic representations over a fixed number field, uniformly in all aspects. A novel feature of the present method is the softness of our arguments; this is largely due to a consistent use of canonically normalized period relations, such as those supplied by the work of Waldspurger and Ichino--Ikeda.Comment: Almost final version to appear in Publ. Math IHES. References updated

Simón Bolívar's Republic: a bulwark against the "Tyranny" of the Majority

Based on Bolívar's speeches, decrees, and correspondence as well as on Gran Colombia's constitutions and laws, this essay examines the tensions within Bolívar's vision of Venezuela's and New Granada's society produced by his republican, yet authoritarian and hierarchical ideas, his concern for keeping the lower classes of African descent in check, and his denial of Indian agency. It shows that even in Peru, Bolívar's main concern was to prevent the racial war and social disintegration that allegedly slaves and free Afro-descended people would bring to the newly independent nations. To prevent such an outcome, he advocated all along legal equality through the abolition of the colonial privileges and, since mid-1816, the abolition of slavery, but simultaneously the preservation of the monopole of power by the white creole elite. He secured the perpetuation of the socioracial hierarchy inherited from Spain by a two-edged citizenship: an active citizenship restricted to a tiny literate and skilled minority and an inactive citizenship for the immense majority of (mostly nonwhite) men