Explicit methods for Hilbert modular forms

We exhibit algorithms to compute systems of Hecke eigenvalues for spaces of Hilbert modular forms over a totally real field. We provide many explicit examples as well as applications to modularity and Galois representations.

A modular approach for integrative analysis of large-scale gene-expression and drug-response data

High-throughput technologies are now used to generate more than one type of data from the same biological samples. To properly integrate such data, we propose using co-modules, which describe coherent patterns across paired data sets, and conceive several modular methods for their identification. We first test these methods using in silico data, demonstrating that the integrative scheme of our Ping-Pong Algorithm uncovers drug-gene associations more accurately when considering noisy or complex data. Second, we provide an extensive comparative study using the gene-expression and drug-response data from the NCI-60 cell lines. Using information from the DrugBank and the Connectivity Map databases we show that the Ping-Pong Algorithm predicts drug-gene associations significantly better than other methods. Co-modules provide insights into possible mechanisms of action for a wide range of drugs and suggest new targets for therapy

Modular analysis of gene expression data with R.

SUMMARY: Large sets of data, such as expression profiles from many samples, require analytic tools to reduce their complexity. The Iterative Signature Algorithm (ISA) is a biclustering algorithm. It was designed to decompose a large set of data into so-called 'modules'. In the context of gene expression data, these modules consist of subsets of genes that exhibit a coherent expression profile only over a subset of microarray experiments. Genes and arrays may be attributed to multiple modules and the level of required coherence can be varied resulting in different 'resolutions' of the modular mapping. In this short note, we introduce two BioConductor software packages written in GNU R: The isa2 package includes an optimized implementation of the ISA and the eisa package provides a convenient interface to run the ISA, visualize its output and put the biclusters into biological context. Potential users of these packages are all R and BioConductor users dealing with tabular (e.g. gene expression) data. AVAILABILITY: http://www.unil.ch/cbg/ISA CONTACT: sven.bergmann@unil.ch

PICTour : aplicació modular per a la gestió d'imatges geoetiquetades mitjançant serveis en línea independents basada en tecnologia .NET

Aplicació realitzada emprant diverses tecnologies de la plataforma .NET i capaç d'adaptar-se a l'escenari canviant de la web 2.0 i aprofitar les eines que ofereix.

Mutations in the SPARC-Related Modular Calcium-Binding Protein 1 Gene, SMOC1, Cause Waardenburg Anophthalmia Syndrome.

Waardenburg anophthalmia syndrome, also known as microphthalmia with limb anomalies, ophthalmoacromelic syndrome, and anophthalmia-syndactyly, is a rare autosomal-recessive developmental disorder that has been mapped to 10p11.23. Here we show that this disease is heterogeneous by reporting on a consanguineous family, not linked to the 10p11.23 locus, whose two affected children have a homozygous mutation in SMOC1. Knockdown experiments of the zebrafish smoc1 revealed that smoc1 is important in eye development and that it is expressed in many organs, including brain and somites.

Anàlisi i disseny d'un programari de Gestió Remota d'un Parc Modular d'Energia Solar

Anàlisi i disseny d'una aplicació per gestionar de manera remota l'activitat d'un parc d'energia solar fotovoltaica.

Desenvolupament d'un sistema d'adquisició i gestió de dades integrat en una arquitectura modular en xarxa (orientat a la ramaderia de precisió)

Desenvolupament d'un sistema d'adquisició, filtrat, emmagatzetmament i gestió de dades provinents d'un sistema de control de subministrament d'aliment d'una explotació porcina. D'altra banda, l'eina informàtica incorporarà dos bases de dades (bruta i neta) les quals es podran consultar amb un VI específic, tant de manera local com remota amb l'ajuda del webserver de labview, també conté un VI específic de generació d'informes (via internet) que facilita la inspecció de dades. Tots els programes estan implementats en labview i connectats en xarxa.

Sistema modular de presentación de información para la plataforma de web semántica Rhizomer

Aquest projecte es basa en la idea de redefinir la web actual sota el marc de la web semàntica a través de la plataforma rhizomer. Intentant explotar les possibilitats d'indexació semàntica de continguts àudiovisuals. L'objectiu d'aquest treball es generar un sistema de presentació de dades utilitzant els diferents tipus de contingut àudiovisual que ens ofereix el grup de comunicació Segre. Fonamentalment, es desenvoluparan tres sistemes de presentació d'informació diferents: vista geogràfica, vista línia temporal, transcripció i reproducció d'àudio.

Capacity-approaching rate function for layered multiantenna architectures

The simultaneous use of multiple transmit and receive antennas can unleash very large capacity increases in rich multipath environments. Although such capacities can be approached by layered multi-antenna architectures with per-antenna rate control, the need for short-term feedback arises as a potential impediment, in particular as the number of antennas—and thus the number of rates to be controlled—increases. What we show, however, is that the need for short-term feedback in fact vanishes as the number of antennas and/or the diversity order increases. Specifically, the rate supported by each transmit antenna becomes deterministic and a sole function of the signal-to-noise, the ratio of transmit and receive antennas, and the decoding order, all of which are either fixed or slowly varying. More generally, we illustrate -through this specific derivation— the relevance of some established random CDMA results to the single-user multi-antenna problem.

Per-antenna rate and power control for MIMO layered architectures in the low- and high-power regimes

In a MIMO layered architecture, several codewordsare transmitted from a multiplicity of antennas. Although thespectral efficiency is maximized if the rates of these codewordsare separately controlled, the feedback rate within the linkadaptation loop is reduced if they are constrained to be identical.This poses a direct tradeoff between performance andfeedback overhead. This paper provides analytical expressionsthat quantify the difference in spectral efficiency between bothapproaches for arbitrary numbers of antennas. Specifically, thecharacterization takes place in the realm of the low- and highpowerregimes via expansions that are shown to have a widerange of validity.In addition, the possibility of adjusting the transmit powerof each codeword individually is considered as an alternative tothe separate control of their rates. Power allocation, however,turns out to be inferior to rate control within the context of thisproblem.

Evaluación de la Estructura Modular en la Escuela Superior Universitaria Politécnica. Primera aproximación

En esta comunicación se plasman los resultados obtenidos de la evaluación llevada a cabo respecto la iniciativa tomada por parte del profesorado de la Escuela Superior Politécnica de la Universidad Pompeu Fabra en cuanto a la construcción de una estructura modular sólida y eficaz para la coordinación y gestión de las asignaturas del actual y futuro plan de estudios. Esta nueva estructura de módulos resulta una iniciativa innovadora que, a su vez, potencia y enfatiza la calidad de los estudios. En concreto la comunicación presenta los resultados de la evaluación piloto de uno de los módulos. Estos resultados nos ofrecen información sobre el punto en el que estamos actualmente así como nos orientan hacia nuevasacciones a desarrollar para optimizar la estructura modularsobre la que se basan los nuevos Grados mejorando los procesosque de ella se desprenden.

Congruences between modular forms and lowering the level mod l^n

In this article we study the behavior of inertia groups for modularGalois mod l^n representations and in some cases we give a generalizationof Ribet s lowering the level result (cf. [Rib90]).

Computing congruences of modular forms and Galois representations modulo prime powers

This article starts a computational study of congruences of modular forms and modular Galoisrepresentations modulo prime powers. Algorithms are described that compute the maximum integermodulo which two monic coprime integral polynomials have a root in common in a sensethat is defined. These techniques are applied to the study of congruences of modular forms andmodular Galois representations modulo prime powers. Finally, some computational results withimplications on the (non-)liftability of modular forms modulo prime powers and possible generalisationsof level raising are presented.

Borcherds products and arithmetic intersection theory on Hilbert modular surfaces

We prove an arithmetic version of a theorem of Hirzebruch and Zagier saying that Hirzebruch-Zagier divisors on a Hilbert modular surface are the coefficients of an elliptic modular form of weight 2. Moreover, we determine the arithmetic selfintersection number of the line bundle of modular forms equipped with its Petersson metric on a regular model of a Hilbert modular surface, and we study Faltings heights of arithmetic Hirzebruch-Zagier divisors.

Galois representations, embedding problems and modular forms

To an odd irreducible 2-dimensional complex linear representation of the absolute Galois group of the field Q of rational numbers, a modular form of weight 1 is associated (modulo Artin's conjecture on the L-series of the representation in the icosahedral case). In addition, linear liftings of 2-dimensional projective Galois representations are related to solutions of certain Galois embedding problems. In this paper we present some recent results on the existence of liftings of projective representations and on the explicit resolution of embedding problems associated to orthogonal Galois representations, and explain how these results can be used to construct modular forms.