Muro cortina modular con marco de baja transmitancia térmica integrado en el vidrio aislante a través de adhesivos estructurales = Unitised curtain wall with low thermal transmittance frame integrated within the insulating glass unit through structural adhesives

Los muros cortina modulares están constituidos por paneles prefabricados que se fijan al edificio a través de anclajes a lo largo del borde del forjado. El proceso de prefabricación garantiza buena calidad y control de los acabados y el proceso de instalación es rápido y no requiere andamiaje. Por estas razones su uso está muy extendido en torres. Sin embargo, el diseño de los marcos de aluminio podría ser más eficiente si se aprovechara la rigidez de los vidrios para reducir la profundidad estructural de los montantes. Asimismo, se podrían reducir los puentes térmicos en las juntas si se sustituyeran los marcos por materiales de menor conductividad térmica que el aluminio. Esta investigación persigue desarrollar un muro cortina alternativo que reduzca la profundidad estructural, reduzca la transmisión térmica en las juntas y permita un acabado enrasado al interior, sin que sobresalgan los montantes. La idea consiste en conectar un marco de material compuesto de fibra de vidrio a lo largo del borde del vidrio aislante a través de adhesivos estructurales para así movilizar una acción estructural compuesta entre los dos vidrios y lograr una baja transmitancia térmica. El marco ha de estar integrado en la profundidad del vidrio aislante. En una primera fase se han efectuado cálculos estructurales y térmicos preliminares para evaluar las prestaciones a un nivel esquemático. Además, se han realizado ensayos a flexión en materiales compuestos de fibra de vidrio y ensayos a cortante en las conexiones adhesivas entre vidrio y material compuesto. Con la información obtenida se ha seleccionado el material del marco y del adhesivo y se han efectuado cambios sobre el diseño original. Los análisis numéricos finales demuestran una reducción de la profundidad estructural de un 80% y una reducción de la transmisión térmica de un 6% en comparación con un sistema convencional tomado como referencia. El sistema propuesto permite obtener acabados enrasados. ABSTRACT Unitised curtain wall systems consist of pre manufactured cladding panels which can be fitted to the building via pre fixed brackets along the edge of the floor slab. They are universally used for high rise buildings because the factory controlled assembly of units ensures high quality and allows fast installation without external access. However, its frame is structurally over-dimensioned because it is designed to carry the full structural load, failing to take advantage of potential composite contribution of glass. Subsequently, it is unnecessarily deep, occupying valuable space, and protrudes to the inside, causing visual disruption. Moreover, it is generally made of high thermal conductivity metal alloys, contributing to substantial thermal transmission at joints. This research aims to develop a novel frame-integrated unitised curtain wall system that will reduce thermal transmission at joints, reduce structural depth significantly and allow an inside flush finish. The idea is to adhesively bond a Fibre Reinforced Polymer (FRP) frame to the edge of the Insulated Glass Unit (IGU), thereby achieving composite structural behaviour and low thermal transmittance. The frame is to fit within the glazing cavity depth. Preliminary analytical structural and numerical thermal calculations are carried out to assess the performance of an initial schematic design. 4-point bending tests on GFRP and single-lap shear tests on bonded connections between GFRP and glass are performed to inform the frame and adhesive material selection process and to characterise these materials. Based on the preliminary calculations and experimental tests, some changes are put into effect to improve the performance of the system and mitigate potential issues. Structural and thermal numerical analysis carried out on the final detail design confirm a reduction of the structural depth to almost one fifth and a reduction of thermal transmission of 6% compared to a benchmark conventional system. A flush glazed appearance both to the inside and the outside are provided while keeping the full functionality of a unitised system.

Construcción modular ligera energéticamente eficiente

Esta tesis trata sobre la construcción modular ligera, dentro del contexto de la eficiencia energética y de cara a los conceptos de nZEB (near Zero Energy Building) y NZEB (Net Zero Energy Building) que se manejan en el ámbito europeo y específicamente dentro del marco regulador de la Directiva 2010/31 UE. En el contexto de la Unión Europea, el sector de la edificación representa el 40% del total del consumo energético del continente. Asumiendo la necesidad de reducir este consumo se han planteado, desde los organismos de dirección europeos, unos objetivos (objetivos 20-20-20) para hacer más eficiente el parque edificatorio. Estos objetivos, que son vinculantes en términos de legislación, comprometen a todos los estados miembros a conseguir la meta de reducción de consumo y emisiones de GEI (Gases de Efecto Invernadero) antes del año 2020. Estos conceptos de construcción modular ligera (CML) y eficiencia energética no suelen estar asociados por el hecho de que este tipo de construcción no suele estar destinada a un uso intensivo y no cuenta con unos cerramientos con niveles de aislamiento de acuerdo a las normativas locales o códigos de edificación de cada país. El objetivo de nZEB o NZEB, e incluso Energy Plus, según sea el caso, necesariamente (y así queda establecido en las normativas), dependerá no sólo de la mejora de los niveles de aislamiento de los edificios, sino también de la implementación de sistemas de generación renovables, independientemente del tipo de sistema constructivo con el que se trabaje e incluso de la tipología edificatoria. Si bien es cierto que los niveles de industrialización de la sociedad tecnológica actual han alcanzado varias de las fases del proceso constructivo - sobre todo en cuanto a elementos compositivos de los edificios- también lo es el hecho de que las cotas de desarrollo conseguidas en el ámbito de la construcción no llegan al nivel de evolución que se puede apreciar en otros campos de las ingenierías como la aeronáutica o la industria del automóvil. Aunque desde finales del siglo pasado existen modelos y proyectos testimoniales de construcción industrializada ligera (CIL) e incluso ya a principios del siglo XX, ejemplos de construcción modular ligera (CML), como la Casa Voisin, la industrialización de la construcción de edificios no ha sido una constante progresiva con un nivel de comercialización equiparable al de la construcción masiva y pesada. Los términos construcción industrializada, construcción prefabricada, construcción modular y construcción ligera, no siempre hacen referencia a lo mismo y no siempre son sinónimos entre sí. Un edificio puede ser prefabricado y no ser modular ni ligero y tal es el caso, por poner un ejemplo, de la construcción con paneles de hormigón prefabricado. Lo que sí es una constante es que en el caso de la construcción modular ligera, la prefabricación y la industrialización, casi siempre vienen implícitas en muchos ejemplos históricos y actuales. Con relación al concepto de eficiencia energética (nZEB o incluso NZEB), el mismo no suele estar ligado a la construcción modular ligera y/o ligera industrializada; más bien se le ve unido a la idea de cerramientos masivos con gran inercia térmica propios de estándares de diseño como el Passivhaus; y aunque comúnmente a la construcción ligera se le asocian otros conceptos que le restan valor (corta vida útil; función y formas limitadas, fuera de todo orden estético; limitación en los niveles de confort, etc.), los avances que se van alcanzando en materia de tecnologías para el aprovechamiento de la energía y sistemas de generación renovables, pueden conseguir revertir estas ideas y unificar el criterio de eficiencia + construcción modular ligera. Prototipos y proyectos académicos– como el concurso Solar Decathlon que se celebra desde el año 2002 promovido por el DOE (Departamento de Energía de los Estados Unidos), y que cuenta con ediciones europeas como las de los años 2010 y 2012, replantean la idea de la construcción industrializada, modular y ligera dentro del contexto de la eficiencia energética, con prototipos de viviendas de ± 60m2, propuestos por las universidades concursantes, y cuyo objetivo es alcanzar y/o desarrollar el concepto de NZEB (Net Zero Energy Building) o edificio de energía cero. Esta opción constructiva no sólo representa durabilidad, seguridad y estética, sino también, rapidez en la fabricación y montaje, además de altas prestaciones energéticas como se ha podido demostrar en las sucesivas ediciones del Solar Decathlon. Este tipo de iniciativas de desarrollo de tecnologías constructivas, no sólo apuntan a la eficiencia energética sino al concepto global de energía neta, Energía plus o cero emisiones de CO2. El nivel de emisiones por la fabricación y puesta en obra de los materiales de construcción depende, en muchos casos, no solo de la propia naturaleza del material, sino también de la cantidad de recursos utilizados para producir una unidad de medida determinada (kg, m3, m2, ml, etc). En este sentido podría utilizarse, en muchos casos, el argumento válido de que a menos peso, y a menos tamaño, menos emisiones globales de gases de efecto invernadero y menos contaminación. Para el trabajo de investigación de esta tesis se han tomado como referencias válidas para estudio, prototipos tanto de CML (Modular 3D) como de CIL (panelizado y elementos 2D), dado que para los fines de análisis de las prestaciones energéticas de los materiales de cerramiento, ambos sistemas son equiparables. Para poder llegar a la conclusión fundamental de este trabajo de tesis doctoral - que consiste en demostrar la viabilidad tecnológica/ industrial que supone la combinación de la eficiencia energética y la construcción modular ligera - se parte del estudio del estado de la técnica ( desde la selección de los materiales y los posibles procesos de industrialización en fábrica, hasta su puesta en obra, funcionamiento y uso, bajo los conceptos de consumo cero, cero emisiones de carbono y plus energético). Además -y con un estado de la técnica que identifica la situación actual- se llevan a cabo pruebas y ensayos con un prototipo a escala natural y células de ensayo, para comprobar el comportamiento de los elementos compositivos de los mismos, frente a unas condicionantes climáticas determinadas. Este tipo de resultados se contrastan con los obtenidos mediante simulaciones informáticas basadas en los mismos parámetros y realizadas en su mayoría mediante métodos simplificados de cálculos, validados por los organismos competentes en materia de eficiencia energética en la edificación en España y de acuerdo a la normativa vigente. ABSTRACT This thesis discusses lightweight modular construction within the context of energy efficiency in nZEB (near Zero Energy Building) and NZEB (Net Zero Energy Building) both used in Europe and, specifically, within the limits of the regulatory framework of the EU Directive 2010/31. In the European Union the building sector represents 40% of the total energy consumption of the continent. Due to the need to reduce this consumption, European decision-making institutions have proposed aims (20-20-20 aims) to render building equipment more efficient. These aims are bound by law and oblige all member States to endeavour to reduce consumption and GEI emissions before the year 2020. Lightweight modular construction concepts and energy efficiency are not generally associated because this type of building is not normally meant for intensive use and does not have closures with insulation levels which fit the local regulations or building codes of each country. The objective of nZEB or NZEB and even Energy Plus, depending on each case, will necessarily be associated (as established in the guidelines) not only with the improvement of insulation levels in buildings, but also with the implementation of renewable systems of generation, independent of the type of building system used and of the building typology. Although it is true that the levels of industrialisation in the technological society today have reached several of the building process phases - particularly in the composite elements of buildings - it is also true that the quotas of development achieved in the area of construction have not reached the evolutionary levelfound in other fields of engineering, such as aeronautics or the automobile industry. Although there have been models and testimonial projects of lightweight industrialised building since the end of last century, even going back as far as the beginning of the XX century with examples of lightweight modular construction such as the Voisin House, industrialisation in the building industry has not been constant nor is its comercialisation comparable to massive and heavy construction. The terms industrialised building, prefabricated building, modular building and lightweight building, do not always refer to the same thing and they are not always synonymous. A building can be prefabricated yet not be modular or lightweight. To give an example, this is the case of building with prefabricated concrete panels. What is constant is that, in the case of lightweight modular construction, prefabrication and industrialisation are almost always implicit in many historical and contemporary examples. Energy efficiency (nZEB or even NZEB) is not normally linked to lightweight modular construction and/or industrialised lightweight; rather, it is united to the idea of massive closureswith high thermal inertia typical of design standards such as the Passive House; and although other concepts that subtract value from it are generally associated with lightweight building (short useful life, limited forms and function, inappropriate toany aesthetic pattern; limitation in comfort levels, etc.), the advances being achieved in technology for benefitting from energy and renewable systems of generation may well reverse these ideas and unify the criteria of efficiency + lightweight modular construction. Academic prototypes and projects - such as the Solar Decathlon competition organised by the US Department of Energy and celebrated since 2002, with its corresponding European events such as those held in 2010 and 2012, place a different slant on the idea of industrialised, modular and lightweight building within the context of energy efficiency, with prototypes of homes measuring approximately 60m2, proposed by university competitors, whose aim is to reach and/or develop the NZEB concept, or the zero energy building. This building option does not only signify durability, security and aesthetics, but also fast manufacture and assembly. It also has high energy benefits, as has been demonstrated in successive events of the Solar Decathlon. This type of initiative for the development of building technologies, does not only aim at energy efficiency, but also at the global concept of net energy, Energy Plus and zero CO2 emissions. The level of emissions in the manufacture and introduction of building materials in many cases depends not only on the inherent nature of the material, but also on the quantity of resources used to produce a specific unit of measurement (kg, m3, m2, ml, etc.). Thus in many cases itcould be validly arguedthat with less weight and smaller size, there will be fewer global emissions of greenhouse effect gases and less contamination. For the research carried out in this thesis prototypes such as the CML (3D Module) and CIL (panelled and elements) have been used as valid study references, becauseboth systems are comparablefor the purpose of analysing the energy benefits of closure materials. So as to reach a basic conclusion in this doctoral thesis - that sets out to demonstrate the technological/industrial viability of the combination of energy efficiency and lightweight modular construction - the departure point is the study of the state of the technique (from the selection of materials and the possible processes of industrialisation in manufacture, to their use on site, functioning and use, respecting the concepts of zero consumption, zero emissions of carbon and Energy Plus). Moreover, with the state of the technique identifying the current situation, tests and practices have been carried out with a natural scale prototype and test cells so as to verify the behaviour of the composite elements of these in certain climatic conditions. These types of result are contrasted with those obtained through computer simulation based on the same parameters and done, principally, using simplified methods of calculation, validated by institutions competent in energy efficiency in Spanish building and in line with the rules in force.

Fresnel-based modular solar fields for performance/cost optimization in solar thermal power plants: A comparison with parabolic trough collectors.

Linear Fresnel collectors are identified as a technology that should play a main role in order to reduce cost of Concentrating Solar Power. An optical and thermal analysis of the different blocks of the solar power plant is carried out, where Fresnel arrays are compared with the most extended linear technology: parabolic trough collectors. It is demonstrated that the optical performance of Fresnel array is very close to that of PTC, with similar values of maximum flux intensities. In addition, if the heat carrier fluid flows in series by the tubes of the receiver, relatively high thermal efficiencies are achieved. Thus, an annual solar to electricity efficiency of 19% is expected, which is similar to the state of the art in PTCs; this is done with a reduction of costs, thanks to lighter structures, that drives to an estimation of LCOE of around 6.5 c€/kWh.

Toward controlling gene expression at will: Specific regulation of the erbB-2/HER-2 promoter by using polydactyl zinc finger proteins constructed from modular building blocks

To create a universal system for the control of gene expression, we have studied methods for the construction of novel polydactyl zinc finger proteins that recognize extended DNA sequences. Elsewhere we have described the generation of zinc finger domains recognizing sequences of the 5′-GNN-3′ subset of a 64-member zinc finger alphabet. Here we report on the use of these domains as modular building blocks for the construction of polydactyl proteins specifically recognizing 9- or 18-bp sequences. A rapid PCR assembly method was developed that, together with this predefined set of zinc finger domains, provides ready access to 17 million novel proteins that bind the 5′-(GNN)6-3′ family of 18-bp DNA sites. To examine the efficacy of this strategy in gene control, the human erbB-2 gene was chosen as a model. A polydactyl protein specifically recognizing an 18-bp sequence in the 5′-untranslated region of this gene was converted into a transcriptional repressor by fusion with Krüppel-associated box (KRAB), ERD, or SID repressor domains. Transcriptional activators were generated by fusion with the herpes simplex VP16 activation domain or with a tetrameric repeat of VP16’s minimal activation domain, termed VP64. We demonstrate that both gene repression and activation can be achieved by targeting designed proteins to a single site within the transcribed region of a gene. We anticipate that gene-specific transcriptional regulators of the type described here will find diverse applications in gene therapy, functional genomics, and the generation of transgenic organisms.

Sla1p Is a Functionally Modular Component of the Yeast Cortical Actin Cytoskeleton Required for Correct Localization of Both Rho1p-GTPase and Sla2p, a Protein with Talin Homology

SLA1 was identified previously in budding yeast in a genetic screen for mutations that caused a requirement for the actin-binding protein Abp1p and was shown to be required for normal cortical actin patch structure and organization. Here, we show that Sla1p, like Abp1p, localizes to cortical actin patches. Furthermore, Sla1p is required for the correct localization of Sla2p, an actin-binding protein with homology to talin implicated in endocytosis, and the Rho1p-GTPase, which is associated with the cell wall biosynthesis enzyme β-1,3-glucan synthase. Mislocalization of Rho1p in sla1 null cells is consistent with our observation that these cells possess aberrantly thick cell walls.  Expression of mutant forms of Sla1p in which specific domains were deleted showed that the phenotypes associated with the full deletion are functionally separable. In particular, a region of Sla1p encompassing the third SH3 domain is important for growth at high temperatures, for the organization of cortical actin patches, and for nucleated actin assembly in a permeabilized yeast cell assay. The apparent redundancy between Sla1p and Abp1p resides in the C-terminal repeat region of Sla1p. A homologue of SLA1 was identified in Schizosaccharomyces pombe. Despite relatively low overall sequence homology, this gene was able to rescue the temperature sensitivity associated with a deletion of SLA1 in Saccharomyces cerevisiae.

Compact stellarators with modular coils

Compact stellarator designs with modular coils and only two or three field periods are now available; these designs have both good stability and quasiaxial symmetry providing adequate transport for a magnetic fusion reactor. If the bootstrap current assumes theoretically predicted values a three field period configuration is optimal, but if that net current turns out to be lower, a device with two periods and just 12 modular coils might be better. There are also attractive designs with quasihelical symmetry and four or five periods whose properties depend less on the bootstrap current. Good performance requires that there be a satisfactory magnetic well in the vacuum field, which is a property lacking in a stellarator-tokamak hybrid that has been proposed for a proof of principle experiment. In this paper, we present an analysis of stability for these configurations that is based on a mountain pass theorem asserting that, if two solutions of the problem of magnetohydrodynamic equilibrium can be found, then there has to be an unstable solution. We compare results of our theory of equilibrium, stability, and transport with recently announced measurements from the large LHD experiment in Japan.

TectoRNA: modular assembly units for the construction of RNA nano-objects

Structural information on complex biological RNA molecules can be exploited to design tectoRNAs or artificial modular RNA units that can self-assemble through tertiary interactions thereby forming nanoscale RNA objects. The selective interactions of hairpin tetraloops with their receptors can be used to mediate tectoRNA assembly. Here we report on the modulation of the specificity and the strength of tectoRNA assembly (in the nanomolar to micromolar range) by variation of the length of the RNA subunits, the nature of their interacting motifs and the degree of flexibility of linker regions incorporated into the molecules. The association is also dependent on the concentration of magnesium. Monitoring of tectoRNA assembly by lead(II) cleavage protection indicates that some degree of structural flexibility is required for optimal binding. With tectoRNAs one can compare the binding affinities of different tertiary motifs and quantify the strength of individual interactions. Furthermore, in analogy to the synthons used in organic chemistry to synthesize more complex organic compounds, tectoRNAs form the basic assembly units for constructing complex RNA structures on the nanometer scale. Thus, tectoRNA provides a means for constructing molecular scaffoldings that organize functional modules in three-dimensional space for a wide range of applications.

Modular organization of the Friend murine leukemia virus envelope protein underlies the mechanism of infection

Retrovirus infection is initiated by receptor-dependent fusion of the envelope to the cell membrane. The modular organization of the envelope protein of C type retroviruses has been exploited to investigate how binding of the surface subunit (SU) to receptor triggers fusion mediated by the transmembrane (TM) subunit. We show that deletion of the receptor-binding domain (RBD) from SU of Friend murine leukemia virus (Fr-MLV) abolishes infection that is restored by supplying RBD as a soluble protein. Infection by this mechanism remains dependent on receptor expression. When membrane attachment of the virus lacking RBD is reestablished by inserting the hormone erythropoietin, infection remains dependent on the RBD/receptor complex. However, infection increases 50-fold to 5 × 105 units/ml on cells that also express the erythropoietin receptor. Soluble RBD from Fr-MLV also restores infection by amphotropic and xenotropic MLVs in which RBD is deleted. These experiments demonstrate that RBD has two functions: mediating virus attachment and activating the fusion mechanism. In addition, they indicate that receptor engagement triggers fusion by promoting a subgroup-independent functional interaction between RBD and the remainder of SU and/or TM.

The 3′→5′ exonuclease of DNA polymerase δ can substitute for the 5′ flap endonuclease Rad27/Fen1 in processing Okazaki fragments and preventing genome instability

Many DNA polymerases (Pol) have an intrinsic 3′→5′ exonuclease (Exo) activity which corrects polymerase errors and prevents mutations. We describe a role of the 3′→5′ Exo of Pol δ as a supplement or backup for the Rad27/Fen1 5′ flap endonuclease. A yeast rad27 null allele was lethal in combination with Pol δ mutations in Exo I, Exo II, and Exo III motifs that inactivate its exonuclease, but it was viable with mutations in other parts of Pol δ. The rad27-p allele, which has little phenotypic effect by itself, was also lethal in combination with mutations in the Pol δ Exo I and Exo II motifs. However, rad27-p Pol δ Exo III double mutants were viable. They exhibited strong synergistic increases in CAN1 duplication mutations, intrachromosomal and interchromosomal recombination, and required the wild-type double-strand break repair genes RAD50, RAD51, and RAD52 for viability. Observed effects were similar to those of the rad27-null mutant deficient in the removal of 5′ flaps in the lagging strand. These results suggest that the 3′→5′ Exo activity of Pol δ is redundant with Rad27/Fen1 for creating ligatable nicks between adjacent Okazaki fragments, possibly by reducing the amount of strand-displacement in the lagging strand.

Parametrizations of elliptic curves by Shimura curves and by classical modular curves

Fix an isogeny class

SMART, a simple modular architecture research tool: Identification of signaling domains

Accurate multiple alignments of 86 domains that occur in signaling proteins have been constructed and used to provide a Web-based tool (SMART: simple modular architecture research tool) that allows rapid identification and annotation of signaling domain sequences. The majority of signaling proteins are multidomain in character with a considerable variety of domain combinations known. Comparison with established databases showed that 25% of our domain set could not be deduced from SwissProt and 41% could not be annotated by Pfam. SMART is able to determine the modular architectures of single sequences or genomes; application to the entire yeast genome revealed that at least 6.7% of its genes contain one or more signaling domains, approximately 350 greater than previously annotated. The process of constructing SMART predicted (i) novel domain homologues in unexpected locations such as band 4.1-homologous domains in focal adhesion kinases; (ii) previously unknown domain families, including a citron-homology domain; (iii) putative functions of domain families after identification of additional family members, for example, a ubiquitin-binding role for ubiquitin-associated domains (UBA); (iv) cellular roles for proteins, such predicted DEATH domains in netrin receptors further implicating these molecules in axonal guidance; (v) signaling domains in known disease genes such as SPRY domains in both marenostrin/pyrin and Midline 1; (vi) domains in unexpected phylogenetic contexts such as diacylglycerol kinase homologues in yeast and bacteria; and (vii) likely protein misclassifications exemplified by a predicted pleckstrin homology domain in a Candida albicans protein, previously described as an integrin.

Adjoint modular Galois representations and their Selmer groups

In the last 15 years, many class number formulas and main conjectures have been proven. Here, we discuss such formulas on the Selmer groups of the three-dimensional adjoint representation ad(φ) of a two-dimensional modular Galois representation φ. We start with the p-adic Galois representation φ0 of a modular elliptic curve E and present a formula expressing in terms of L(1, ad(φ0)) the intersection number of the elliptic curve E and the complementary abelian variety inside the Jacobian of the modular curve. Then we explain how one can deduce a formula for the order of the Selmer group Sel(ad(φ0)) from the proof of Wiles of the Shimura–Taniyama conjecture. After that, we generalize the formula in an Iwasawa theoretic setting of one and two variables. Here the first variable, T, is the weight variable of the universal p-ordinary Hecke algebra, and the second variable is the cyclotomic variable S. In the one-variable case, we let φ denote the p-ordinary Galois representation with values in GL2(Zp[[T]]) lifting φ0, and the characteristic power series of the Selmer group Sel(ad(φ)) is given by a p-adic L-function interpolating L(1, ad(φk)) for weight k + 2 specialization φk of φ. In the two-variable case, we state a main conjecture on the characteristic power series in Zp[[T, S]] of Sel(ad(φ) ⊗ ν−1), where ν is the universal cyclotomic character with values in Zp[[S]]. Finally, we describe our recent results toward the proof of the conjecture and a possible strategy of proving the main conjecture using p-adic Siegel modular forms.

Congruences between modular forms: Raising the level and dropping Euler factors

We discuss the relationship among certain generalizations of results of Hida, Ribet, and Wiles on congruences between modular forms. Hida’s result accounts for congruences in terms of the value of an L-function, and Ribet’s result is related to the behavior of the period that appears there. Wiles’ theory leads to a class number formula relating the value of the L-function to the size of a Galois cohomology group. The behavior of the period is used to deduce that a formula at “nonminimal level” is obtained from one at “minimal level” by dropping Euler factors from the L-function.

Modular organization of intrinsic connections associated with spectral tuning in cat auditory cortex

Many response properties in primary auditory cortex (AI) are segregated spatially and organized topographically as those in primary visual cortex. Intensive study has not revealed an intrinsic, anatomical organizing principle related to an AI functional topography. We used retrograde anatomic tracing and topographic physiologic mapping of acoustic response properties to reveal long-range (≥1.5 mm) convergent intrinsic horizontal connections between AI subregions with similar bandwidth and characteristic frequency selectivity. This suggests a modular organization for processing spectral bandwidth in AI.