Semisimple characters for p-adic classical groups

Let G be a unitary, symplectic, or orthogonal group over a non-Archimedean local field of residual characteristic different from 2, considered as the fixed-point subgroup in a general linear group of an involution. Following previous work of Bushnell and Kutzko, and of the author, we generalize the notion of a semisimple character for and for G. In particular, following the formalism of Bushnell and Henniart, we show that these semisimple characters have certain functorial properties. Finally, we show that any positive level supercuspidal representation of G contains a semisimple character

Intertwining and supercuspidal types for p-adic classical groups

Let F be a non-archimedean local field of residual characteristic different from 2, and let G be a unitary, symplectic or orthogonal group, considered as the fixed point subgroup in = GL(N,F) of an involution s. We generalize the notion of a simple character for , which was introduced by Bushnell and Kutzko [Annals of Mathematics Studies 129 (Princeton University Press, 1993)], to define semisimple characters. Given a semisimple character ? for fixed by s, we transfer it to a character ?- for G and calculate its intertwining. If the torus associated to ?- is maximal compact, we obtain supercuspidal representations of G, which are new if the torus is split only over a wildly ramified extension

Scaling of the Splash Threshold for Low-Viscosity Fluids

The ambient gas pressure is determined for the onset of splashing of low-viscosity liquid drops on smooth dry surfaces as we change the control parameters: drop impact velocity, drop radius, viscosity, surface tension, density, and gas molecular weight. This threshold pressure indicates that there are two distinct regimes when drop impact velocity is varied. By rescaling data using functions of only three dimensionless numbers, the commonly used Reynolds and Weber numbers, as well as the ratio of drop radius to gas mean free path, all data is collapsed to a single curve that encompasses both regimes.Comment: 5 pages, 5 figure

Transformative realism: reflections of reality in political avant-garde and contemporary fine art film - Spanish Labyrinth, south from Granada

A turn towards documentary modes of practice amongst contemporary fine art video and filmmakers towards the end of the 20th Century, led to moving image works that represent current social realities. This drew some comparisons of these forms of art to journalism and industrial documentary. The practical research is embodied in a single screen film that responds to recent political and ecological realities in Spain. These include the mass demonstrations that led to the occupation of Madrid’s Plaza del Sol and Spain’s in 2011 and largest recorded forest fires that spread through Andalusia in August of the following year. The film, titled Spanish Labyrinth, South from Granada, is a response to these events and also relates to political avant-garde film of the 1930’s by re-tracing a journey undertaken by three revolutionary filmmakers, Yves Allegret, René Naville and Eli Lotar, in 1931. The theoretical research for this project establishes an historical root of artists’ film that responds to current social realities, in contrast to news media, in the Soviet and European avant-garde movements of the 1920s and 1930s. The main aim of this method is to argue the status of the works that I identify, both avant-garde and contemporary, as a form of art that preceded a Griersonian definition of documentary film

Smooth representations of GL_m(D), V: Endo-classes

Let F be a locally compact nonarchimedean local field. In this article, we extend to any inner form of GL_n over F, with n>0, the notion of endo-class introduced by Bushnell and Henniart for GL_n(F). We investigate the intertwining relations of simple characters of these groups, in particular their preservation properties under transfer. This allows us to associate to any discrete series representation of an inner form of GL_n(F) an endo-class over F. We conjecture that this endo-class is invariant under the local Jacquet-Langlands correspondence

National Evaluation of the Capacity Building Programme in English Local Government: Annex 3. Direct Support in Poor and Weak Local Authorities: Emerging findings

This report summarises emerging findings from initial scoping analysis and case study fieldwork with authorities that have received Direct Support from the Capacity Building Programme (CBP) for local government. The report is one of a series of outputs from the national evaluation of the CBP, being undertaken by a team of researchers at the Policy Research Institute (PRI) at Leeds Metropolitan University and the Cities Research Unit at the University of West of England

GMRT Low Frequency Observations of Extrasolar Planetary Systems

Extrasolar planets are expected to emit detectable low frequency radio emission. In this paper we present results from new low frequency observations of two extrasolar planetary systems (Epsilon Eridani and HD 128311) taken at 150 MHz with the Giant Metrewave Radio Telescope (GMRT). These two systems have been chosen because the stars are young (with ages < 1 Gyr) and are likely to have strong stellar winds, which will increase the expected radio flux. The planets are massive (presumably) gas giant planets in longer period orbits, and hence will not be tidally locked to their host star (as is likely to be the case for short period planets) and we would expect them to have a strong planetary dynamo and magnetic field. We do not detect either system, but are able to place tight upper limits on their low frequency radio emission, at levels comparable to the theoretical predictions for these systems. From these observations we have a 2.5sigma limit of 7.8 mJy for Epsilon Eri and 15.5 mJy for HD 128311. In addition, these upper limits also provide limits on the low frequency radio emission from the stars themselves. These results are discussed and also the prospects for the future detection of radio emission from extrasolar planets.Comment: 6 pages, 2 figures, accepted for publication in MNRA