PP-adic LL-functions of Bianchi modular forms

The theory of overconvergent modular symbols, developed by Rob Pollack and Glenn Stevens, gives a beautiful and effective construction of the $p$-adic $L$-function of a modular form. In this paper, we give an analogue of their results for Bianchi modular forms, that is, modular forms over imaginary quadratic fields. In particular, we prove control theorems that say that the canonical specialisation map from overconvergent to classical Bianchi modular symbols is an isomorphism on small slope eigenspaces of suitable Hecke operators. We also give an explicit link between the classical modular symbol attached to a Bianchi modular form and critical values of its $L$-function, which then allows us to construct $p$-adic $L$-functions of Bianchi modular forms.Comment: 41 pages. I have relaxed a condition, previously assumed throughout, that the primes above p are principal. I have also made various minor improvements and corrections throughou

Catégorisation et stigmatisation policières á Sheffield au milieu du XIXe siècle [Numbering crimes and measuring space: policing Sheffield in the mid-nineteenth century]

The city in the nineteenth century was often defined as a place of crime: yet from within, the its authorities sought to represent crime as something external to it. The presentation of the criminal statistical returns of the English city of Sheffield can be shown to be distorted in several ways, all of which were consistent with the project of rendering the criminal as firmly 'other'. The town's returns followed the national requirement of establishing numbers of 'resident criminals' and their haunts, but it also went beyond this. Information about residence, ethnicity and literacy was presented in a way that tried to set a boundary between the 'true' city and the people in it who were deemed to be committing the majority of crime. The tactic of labelling was pursued in an effort to symbolically isolate a discrete 'criminal class'. In addition, the mania for sub-division of certain sorts of crime replaced worryingly large numbers of total crimes committed with reassuringly small numbers of crimes that fell into small sub-categories. The returns were a conscious project to create an image of an incorruptible and professional police force successfully securing and thus separating the city from a crime threat that was mainly external, 'alien' or safely under surveillance

P-adic Asai L-functions of Bianchi modular forms

The Asai (or twisted tensor) $L$-function of a Bianchi modular form $\Psi$ is the $L$-function attached to the tensor induction to $\mathbb{Q}$ of its associated Galois representation. In this paper, when $\Psi$ is ordinary at $p$ we construct a $p$-adic analogue of this $L$-function: that is, a $p$-adic measure on $\mathbb{Z}_p^\times$ that interpolates the critical values of the Asai $L$-function twisted by Dirichlet characters of $p$-power conductor. The construction uses techniques analogous to those used by Lei, Zerbes and the first author in order to construct an Euler system attached to the Asai representation of a quadratic Hilbert modular form.Comment: Final version, to appear in Algebra & Number Theor

Working together, driven apart: Reflecting on a joint endeavour to address sustainable development within a university

A holistic and transformational approach to Sustainable Development within a university requires systemic change and embraces new ways of working. Champions must challenge silo mentalities, develop new processes to encourage synergies across university functions, and strive to re-align systems and goals towards the common endeavour of sustainability. But how easy is this to achieve? It is well documented that working across disciplines presents challenges but forging a synergistic relationship between the environmental management function of Estates and an academic champion for ESD is not only logical but might be an easier place to explore how two roles can work together to achieve change. This paper provides a reflective account of such an alliance, outlining a joint endeavour to address sustainable development. An analysis is provided of those factors which impede such working and the different role tensions that make working together challenging. It will also consider the benefits of collaboration, as the perspectives from the operational and academic domains provide a broader context for understandings, access to different forums, an ability to tackle conflicting agendas together and an opportunity to genuinely effect change, providing mutual support through shared perseverance. The paper will conclude by questioning the extent to which progress made will endure, if the benefits of this synergy are not acknowledged by university leadership

Protect our pubs!

Protect Our Pubs! is a project examining the notion of the nationalisation of pubs by the state. It involved a protest, audio tours of the pub, posters protesting at the notion, a contest for the smartest barperson, peg drinking contest, a flighting contest and various documentation. The protest and subsequent events took place at the Hare & Hounds Pub in the Midlands

OB associations and giant molecular clouds in the galaxy

Giant molecular clouds (GMC's) are the sites of all OB star formation in the Galaxy. These OB stars typically form in large associations and photoionize the surrounding gas, eventually destroying the clouds from which they were born. CO surveys have revealed the distribution of GMC's in the Galaxy, and radio observations provide data on the distribution of associations. These results are extrapolated to determine Galactic mean distribution functions of each and then combined to determine how GMC's and OB associations are correlated. The resulting probability distribution of luminosity given cloud mass implies that although most of the molecular mass of the Galaxy is in massive star forming complexes, a large number of clouds above which massive star formation is extremely likely and abundant and below which it is almost certainly absent

Design Synthesis of Adaptive Mesoscopic Cellular Structures with Unit Truss Approach and Particle Swarm Optimization Algorithm

Cellular material structures have been engineered at the mesoscopic scale for high performance and multifunctional capabilities. However, the design of adaptive cellular structures - structures with cellular configurations, sizes, and shapes designed for a specific geometric and loading context - has not been sufficiently investigated. In this paper, the authors present a design synthesis method with the use of unit truss approach and particle swarm optimization algorithm to design adaptive cellular structures. A critical review is presented to show the pros and cons of the new design synthesis method and an existing homogenization method. The research extends the application of additive manufacturing in the design of new materials for high performances and benefits its long-term growth.Mechanical Engineerin

Families of Bianchi modular symbols: critical base-change p-adic L-functions and p-adic Artin formalism

Let $K$ be an imaginary quadratic field. In this article, we study the eigenvariety for GL(2)/K, proving an etaleness result for the weight map at non-critical classical points and a smoothness result at base-change classical points. We give three main applications of this; let $f$ be a regular $p$-stabilised newform of weight $k$ at least 2 without CM by $K$. (1) We construct a two-variable $p$-adic $L$-function attached to the base-change of $f$ to $K$ under assumptions on $f$ that we conjecture always hold, in particular making no assumption on the slope of $f$. (2) We construct three-variable $p$-adic $L$-functions over the eigenvariety interpolating the $p$-adic $L$-functions of classical base-change Bianchi cusp forms in families. (3) We prove that these base-change $p$-adic $L$-functions satisfy a $p$-adic Artin formalism result, that is, they factorise in the same way as the classical $L$-function under Artin formalism. In an appendix, Carl Wang-Erickson describes a base-change deformation functor and gives a characterisation of its Zariski tangent space.Comment: 26 pages, with a 3 page appendix by Carl Wang-Erickson. Comments welcome! Changes for v5: added contents, minor changes to exposition. v4: corrected funding acknowledgements. v3: This version has a new introduction, has been reorganised and greatly shortened, and incorporates minor corrections. v2: minor correction

Matching matched filtering with deep networks in gravitational-wave astronomy

We report on the construction of a deep convolutional neural network that can reproduce the sensitivity of a matched-filtering search for binary black hole gravitational-wave signals. The standard method for the detection of well modeled transient gravitational-wave signals is matched filtering. However, the computational cost of such searches in low latency will grow dramatically as the low frequency sensitivity of gravitational-wave detectors improves. Convolutional neural networks provide a highly computationally efficient method for signal identification in which the majority of calculations are performed prior to data taking during a training process. We use only whitened time series of measured gravitational-wave strain as an input, and we train and test on simulated binary black hole signals in synthetic Gaussian noise representative of Advanced LIGO sensitivity. We show that our network can classify signal from noise with a performance that emulates that of match filtering applied to the same datasets when considering the sensitivity defined by Reciever-Operator characteristics.Comment: 5 pages, 3 figures, submitted to PR

Improved recovery from prolonged exercise following the consumption of low glycemic index carbohydrate meals

The present study examined the effects of the glycemic index (GI) of post-exercise carbohydrate (CHO) intake on endurance capacity and the metabolic responses during exercise the following day. Nine active males participated in two trials in a randomised crossover design. The experimental protocol was completed over two days. On day 1, subjects completed a 90 min treadmill run at 70% VO2 max (R1). Thereafter, they were supplied with a diet consisting of either high glycemic index (HGI) or low glycemic index (LGI) CHO and provided 8g CHOkg body mass (BM)-1.On day 2, after an overnight fast, subjects ran to exhaustion at 70% VO2 max (R2). Eight subjects completed both performance runs (R2). Run time to exhaustion during R2 was longer in the LGI trial (108.9 7.4 min) than in the HGI trial (96.9 4.8 min) (p<0.05). Average RER values were higher in the HGI trial compared to the LGI trial (p<0.05). Fat oxidation rates and free fatty acid concentrations were higher in the LGI trial than the HGI trial (p<0.05). The results of the study suggest that the increased endurance capacity during R2 was largely a consequence of the greater fat oxidation following the consumption of the LGI meals