Integral bases for TQFT modules and unimodular representations of mapping class groups

We construct integral bases for the SO(3)-TQFT-modules of surfaces in genus one and two at roots of unity of prime order and show that the corresponding mapping class group representations preserve a unimodular Hermitian form over a ring of algebraic integers. For higher genus surfaces the Hermitian form sometimes must be non-unimodular. In one such case, genus 3 and p=5, we still give an explicit basis

Design of the organization of information services in large public organizations

The design of the organization of information services in large public organizations must be improved to give a better answer on the changing political, administrative and social demands being made on large public bodies. At the moment it is not clear how the organization of the information services should function in this respect. Up until now the organization of the organization of the information services is part of the operations organization. The distance to the strategic function in a public organization is therefore large. To make better use of IT it is necessary to bridge these gap. In the last year investigation is done if and how these gap can be bridged and a first new design was made.The past and the future of information systems: 1976-2006 and beyondRed de Universidades con Carreras en Informática (RedUNCI

Design of the organization of information services in large public organizations

The design of the organization of information services in large public organizations must be improved to give a better answer on the changing political, administrative and social demands being made on large public bodies. At the moment it is not clear how the organization of the information services should function in this respect. Up until now the organization of the organization of the information services is part of the operations organization. The distance to the strategic function in a public organization is therefore large. To make better use of IT it is necessary to bridge these gap. In the last year investigation is done if and how these gap can be bridged and a first new design was made.The past and the future of information systems: 1976-2006 and beyondRed de Universidades con Carreras en Informática (RedUNCI

A CM construction for curves of genus 2 with p-rank 1

We construct Weil numbers corresponding to genus-2 curves with $p$-rank 1 over the finite field \F_{p^2} of $p^2$ elements. The corresponding curves can be constructed using explicit CM constructions. In one of our algorithms, the group of \F_{p^2}-valued points of the Jacobian has prime order, while another allows for a prescribed embedding degree with respect to a subgroup of prescribed order. The curves are defined over \F_{p^2} out of necessity: we show that curves of $p$-rank 1 over \F_p for large $p$ cannot be efficiently constructed using explicit CM constructions.Comment: 19 page

The real-life effect of catechol-O-methyltransferase inhibition on non-motor symptoms in levodopa-treated Parkinson's disease: opicapone versus entacapone

Objective: To evaluate the long-term, real-life effects on non-motor symptoms (NMS) of opicapone compared to entacapone in levodopa-treated people with Parkinson's disease (PwP). Methods: A retrospective data analysis, with pre- and post-opicapone initiation data of 17 PwP with motor fluctuations compared to a comparable group of 18 PwP introduced on entacapone. The primary outcome was changes in the NMS Scale (NMSS) total score after 1-year follow-up. Secondary outcomes included changes in the NMSS domains, and Parkinson's Disease Sleep Scale (PDSS) total and item scores after the same time span. Results: Groups were comparable for baseline demographics and Parkinson's-related features (p ≥ 0.314) as well as duration of follow-up (1.33 ± 0.66 years for PwP on opicapone and 1.23 ± 0.49 years for those on entacapone; p = 0.858). PwP who were introduced on opicapone showed no changes in NMSS and PDSS total scores after 1 year (p = 0.605 and p = 0.507, respectively), whereas PwP who were introduced on entacapone showed significant worsening of NMSS and PDSS total scores at follow-up (p = 0.005 and p = 0.001, respectively). In neither group changes in individual NMSS domains from baseline to follow-up were observed (p ≥ 0.288 for entacapone and p ≥ 0.816 for opicapone, respectively). In PwP on entacapone significant worsening was seen in the distressing dreams, hallucinations, and limb numbness items of the PDSS (p ≤ 0.05). Conclusions: Introduction of opicapone in real-life PwP with motor fluctuations seems to stabilise NMS burden and aspects of sleep dysfunction, in contrast to entacapone where there was a worsening of NMS burden and PDSS scores over 1 year follow-up.The views expressed are those of the authors and not necessarily those of the NHS, NIHR or Department of Health. The authors acknowledge the support of the International Parkinson and Movement Disorder Society Non-Motor Parkinson’s disease Study Group, the NIHR London South Clinical Research Network, the NIHR Biomedical Research Centre, and the clinical research team at the Parkinson’s Foundation centre of excellence at King’s College Hospital and King’s College London. This article represents independent collaborative research part funded by the NIHR Biomedical Research Centre at South London and Maudsley NHS Foundation Trust and King’s College London.S

Abelian Varieties with Prescribed Embedding Degree

We present an algorithm that, on input of a CM-field $K$, an integer $k\ge1$, and a prime $r \equiv 1 \bmod k$, constructs a $q$-Weil number \pi \in \O_K corresponding to an ordinary, simple abelian variety $A$ over the field \F of $q$ elements that has an \F-rational point of order $r$ and embedding degree $k$ with respect to $r$. We then discuss how CM-methods over $K$ can be used to explicitly construct $A$.Comment: to appear in ANTS-VII