Asymptotics and local constancy of characters of p-adic groups

In this paper we study quantitative aspects of trace characters $\Theta_\pi$ of reductive $p$-adic groups when the representation $\pi$ varies. Our approach is based on the local constancy of characters and we survey some other related results. We formulate a conjecture on the behavior of $\Theta_\pi$ relative to the formal degree of $\pi$, which we are able to prove in the case where $\pi$ is a tame supercuspidal. The proof builds on J.-K.~Yu's construction and the structure of Moy-Prasad subgroups.Comment: Proceedings of Simons symposium on the trace formul

Shaping the research experiences of graduate students using action research

s u m m a r y a r t i c l e i n f o Background: Nursing research capacity is often not optimal in developing countries. Capacity building at the graduate nurse level presents an opportunity for improved research output. Students pursuing a research methods course at a nursing school in Jamaica expressed fear and anxiety towards the course. Action research was used to address this fear and improve learning outcomes. Objective: To determine attitudes towards research and to improve the experience of graduate students pursuing a research methods course at a nursing school in Jamaica. Methods: Students (n = 44) registered in the Research Methods course of the MScN at a nursing school in Kingston, Jamaica for the academic year 2010/2011, were invited to participate. Each student was assigned a main supervisor and an alternate supervisor and all had equal access to the course leader and content. On completion of the course three focus group discussions of 10-14 students per group were conducted to determine how students felt about the course experience and their attitude towards the course. Results: Thirty-seven students (mean age of 41.4 ± 1.5 years; 94% female) participated in the exploratory course evaluation exercise. The participants reported that they entered research methods with feelings of apprehension and anxiety. However, these fears were allayed by a combination of factors including interest in students' welfare, affirmation of students, respect for and understanding of students' needs and resourcefulness, and the use of a panel of experts. Barriers included faculty's unrealistic expectations of students' research competencies and the limited time in which to learn and apply concepts. While students thought the course as challenging they felt more confident that they could be successful on completion of the course. Conclusion: Significant improvement in attitudes to research was realized among graduate nursing students using action research at an urban school of nursing in Jamaica

Validation in Fusion Research: Towards Guidelines and Best Practices

Because experiment/model comparisons in magnetic confinement fusion have not yet satisfied the requirements for validation as understood broadly, a set of approaches to validating mathematical models and numerical algorithms are recommended as good practices. Previously identified procedures, such as verification, qualification, and analysis of error and uncertainty, remain important. However, particular challenges intrinsic to fusion plasmas and physical measurement therein lead to identification of new or less familiar concepts that are also critical in validation. These include the primacy hierarchy, which tracks the integration of measurable quantities, and sensitivity analysis, which assesses how model output is apportioned to different sources of variation. The use of validation metrics for individual measurements is extended to multiple measurements, with provisions for the primacy hierarchy and sensitivity. This composite validation metric is essential for quantitatively evaluating comparisons with experiments. To mount successful and credible validation in magnetic fusion, a new culture of validation is envisaged.Comment: 27 pages, 1 table, 6 figure

Fordism: a review essay

Fordism is a central concept in American labour history. This essay, the first survey of the range of historiographical and sociological approaches deployed to understand Fordism, suggests that Fordism and Americanism are inseparably intertwined. Previous scholarship has emphasised that the technological and managerial efficiency of Fordist practice were a hallmark of twentieth century Americanism. Historians of labour have demonstrated that these aspects manifested as a relentless system of control in the workplace that paradoxically helped to unify worker resistance. Historians of capitalism have tended to used Fordism to refer to an ethos underpinning mid-twentieth century capitalist development marked by a balance between mass production and mass consumption. They identify increased social provisions and class compromise between labour and management as features that made Fordism attractive to states rebuilding their economies following the Second World War. New transnational histories of Fordism have begun to bridge the gap between these two main interpretations to show how Fordist practice and ethos were exported together internationally as part of an ideological project to modernise nations in America's image. This essay concludes by assessing the usefulness of Fordism to historians and suggesting avenues for future research