Semistable Non Abelian Hodge theorem in positive characteristic

In this paper, we show that for any reductive group $G$ the moduli space of semistable $G$-Higgs bundles on a curve in characteristic $p$ is a twisted form of the moduli space of semistable flat $G$-connections. This is the semistable version of a previous result of Chen-Zhu, and the $G$-bundle version of a previous result of de Cataldo-Groechenig-Zhang. As a consequence, we show that the Decomposition Theorem for the Hitchin morphism for $G$-Higgs bundles has the same shape as that for the de Rham-Hitchin morphism for flat $G$-connections.Comment: 34 pages. Fixed a minor inaccuracy in Thm 4.17.4 in the previous version. Added Appendix A. Comments welcome

Prediction of destructive properties using descriptive analysis of nd measurements

Three groups of measurements related to peach maturity were acquired through destructive (D) mechanical tests (Magness Taylor Firmness, MTF), mechanical non destructive (ND) tests, and ND optical spectroscopy (Optical indexes). The relationship between these groups of variables was studied in order to estimate D mechanical measurements (MTF, with higher instrumental and sampling variability, time consuming, generally used as a reference for the assessment of peach handling), from ND measurements (quick, applicable on line, dealing better with the high variability found in fruit products). Multivariate exploratory analysis was used to extract the structure of the data. The information about the data structure of ND measurements, the relationship of MTF with the space defined by ND variables, and the expert knowledge regarding to the dataset was then used for modelling MTF (R 2 =0.72 and standard error on validation 5.73 N

A Web-based Environment Providing Remote Access to FPGA Platforms for Teaching Digital Hardware Design

In this work we present the design and implementation of a Web-based application for remote access to the FPGA boards in a Digital Design Laboratory. It enables students from specialization courses to afford the design exercises at any place and time, even at home, just with an Internet access and a Web browser. At the same time, it opens the possibility of prototyping small designs to the rest of students which have no access rights to the physical Laboratory

Reconstructing Detailed Line Profiles of Lamellar Gratings from GISAXS Patterns with a Maxwell Solver

Laterally periodic nanostructures were investigated with grazing incidence small angle X-ray scattering (GISAXS) by using the diffraction patterns to reconstruct the surface shape. To model visible light scattering, rigorous calculations of the near and far field by numerically solving Maxwell's equations with a finite-element method are well established. The application of this technique to X-rays is still challenging, due to the discrepancy between incident wavelength and finite-element size. This drawback vanishes for GISAXS due to the small angles of incidence, the conical scattering geometry and the periodicity of the surface structures, which allows a rigorous computation of the diffraction efficiencies with sufficient numerical precision. To develop dimensional metrology tools based on GISAXS, lamellar gratings with line widths down to 55 nm were produced by state-of-the-art e-beam lithography and then etched into silicon. The high surface sensitivity of GISAXS in conjunction with a Maxwell solver allows a detailed reconstruction of the grating line shape also for thick, non-homogeneous substrates. The reconstructed geometrical line shape models are statistically validated by applying a Markov chain Monte Carlo (MCMC) sampling technique which reveals that GISAXS is able to reconstruct critical parameters like the widths of the lines with sub-nm uncertainty

Docencia Semipresencial en Laboratorios Docentes para Diseño de Hardware Digital en la ETSIT-UPM

En esta comunicación se describe el planteamiento seguido en la ETSIT-UPM (Escuela Técnica Superior de Ingenieros de Telecomunicación – Universidad Politécnica de Madrid) para la formación de sus alumnos en diseño de hardware digital, y la utilidad que tiene el trabajo práctico con herramientas reales y sistemas de prototipado en cada una de sus etapas. A continuación, se detalla la aproximación seguida en nuestra Escuela para posibilitar el acceso de un mayor número de alumnos a los recursos de laboratorio mediante el empleo de las TIC (Tecnologías de la Información y las Comunicaciones). El objetivo final del trabajo desarrollado es dotar a los alumnos de la capacidad para acceder de forma remota a herramientas software de desarrollo y, especialmente, a plataformas de prototipado reales, todas ellas destinadas al diseño de hardware digital. Finalmente, se introducen algunos detalles técnicos relativos a una parte fundamental del desarrollo, que es la aplicación Web para el acceso remoto a las placas de prototipado- In this paper we describe the approach taken at ETSIT-UPM (School for Telecommunication Engineers – Technical University of Madrid) to teach digital hardware design, together with the possibilities of practising with real software tools and prototyping platforms. Next, we detail our approach to facilitate access to the hardware laboratory to a greater number of students by means of TIC (Information and Communication Technologies). The final goal of our work is providing students with remote access to software development tools and prototyping platforms, all of them devoted to digital hardware design. Finally, we describe some technical details of the Web application providing remote access to the prototyping boards

De la evidencia científica a la práctica clínica (I). Prevención primaria y secundaria de la violencia doméstica

Aceptado el problema del maltrato como grave y extenso, los retos actuales son la prevención, la detección precoz y el abordaje profesional adecuado; en suma deberíamos dar respuesta a tres preguntas clave: ¿Qué podemos hacer para disminuir la incidencia? ¿Qué podemos hacer para diagnosticar precozmente? ¿Qué hacer cuando hemos diagnosticado el problema? La prevención primaria es un reto social, ya que se trata de influir en las complejas causas que generan la violencia, y por ello será necesaria la implicación de muchos sectores sociales para ser eficaz. El papel de los profesionales de la salud es prevención primaria es limitado y sus actuaciones en estarían orientadas a: Identificar personas con mayor riesgo de sufrir maltrato, Identificar situaciones de riesgo o mayor vulnerabilidad. El profesional debe estar alerta para detectarlas e intervenir precozmente

Geometry of the logarithmic Hodge moduli space (with an Appendix joint with Siqing Zhang)

We show the smoothness over the affine line of the Hodge moduli space of logarithmic t-connections of coprime rank and degree on a smooth projective curve with geometrically integral fibers over an arbitrary Noetherian base. When the base is a field, we also prove that the Hodge moduli space is geometrically integral. Along the way, we prove the same results for the corresponding moduli spaces of logarithmic Higgs bundles and of logarithmic connections. We use smoothness to derive specialization isomorphisms on the etale cohomology rings of these moduli spaces; this includes the special case when the base is of mixed characteristic. In the special case where the base is a separably closed field of positive characteristic, we show that these isomorphisms are filtered isomorphisms for the perverse filtrations associated with the corresponding Hitchin-type morphisms.Comment: 38 pages. Accepted version of the article. Comments are welcom

Moduli spaces of sheaves via affine Grassmannians

We develop a new method for analyzing moduli problems related to the stack of pure coherent sheaves on a polarized family of projective schemes. It is an infinite-dimensional analogue of geometric invariant theory. We apply this to two familiar moduli problems: the stack of $\Lambda$-modules and the stack of pairs. In both examples, we construct a $\Theta$-stratification of the stack, defined in terms of a polynomial numerical invariant, and we construct good moduli spaces for the open substacks of semistable points. One of the essential ingredients is the construction of higher dimensional analogues of the affine Grassmannian for the moduli problems considered.Comment: 58 pages, comments welcom