Deligne-Lusztig Constructions for Division Algebras and the Local Langlands Correspondence

Let $K$ be a local non-Archimedean field of positive characteristic and let $L$ be the degree-$n$ unramified extension of $K$. Via the local Langlands and Jacquet-Langlands correspondences, to each sufficiently generic multiplicative character of $L$, one can associate an irreducible representation of the multiplicative group of the central division algebra $D$ of invariant $1/n$ over $K$. In 1979, Lusztig proposed a cohomological construction of supercuspidal representations of reductive $p$-adic groups analogous to Deligne-Lusztig theory for finite reductive groups. In this paper we prove that when $n=2$, the $p$-adic Deligne-Lusztig (ind-)scheme $X$ induces a correspondence between smooth one-dimensional representations of $L^\times$ and representations of $D^\times$ that matches the correspondence given by the LLC and JLC.Comment: 61 pages. Version 2: minor revision

Watching You: Systematic Federal Surveillance of Ordinary Americans

To combat terrorism, Attorney General John Ashcroft has asked Congress to "enhance" the government's ability to conduct domestic surveillance of citizens. The Justice Department's legislative proposals would give federal law enforcement agents new access to personal information contained in business and school records. Before acting on those legislative proposals, lawmakers should pause to consider the extent to which the lives of ordinary Americans already are monitored by the federal government. Over the years, the federal government has instituted a variety of data collection programs that compel the production, retention, and dissemination of personal information about every American citizen. Linked through an individual's Social Security number, these labor, medical, education and financial databases now empower the federal government to obtain a detailed portrait of any person: the checks he writes, the types of causes he supports, and what he says "privately" to his doctor. Despite widespread public concern about preserving privacy, these data collection systems have been enacted in the name of "reducing fraud" and "promoting efficiency" in various government programs. Having exposed most areas of American life to ongoing government scrutiny and recording, Congress is now poised to expand and universalize federal tracking of citizen life. The inevitable consequence of such constant surveillance, however, is metastasizing government control over society. If that happens, our government will have perverted its most fundamental mission and destroyed the privacy and liberty that it was supposed to protect

What is corpus linguistics? What the data says

Stubbs (2006), in his state of the art overview, draws attention to the frequent reticence or vagueness of corpus analysts in discussing their operational methods within a scientific context, (a context addressed in detail in Partington forthcoming). This lack of clarity in discussing the methodological framework employed is, perhaps, most surprising given the way in which corpus linguistics situates itself within a scientific frame, and lays such claims to a scientific nature. This brief paper, then, addresses the question posed in its title, namely, “What is corpus linguistics?” – is it a discipline, a methodology, a paradigm or none or all of these? – but does not attempt to offer any definitive answers. Rather, the aim is to present the reader with a number of observations on how corpus linguistics has been construed in its own literature and then to leave the question open, in the hope of stimulating further discussion. The study takes the specific term corpus linguistics and looks at how it is defined and described both explicitly and implicitly in a variety of relevant sources