Nonlinear preservers

Dans cette thèse, nous sommes intéressés par des problèmes de préservation des applications non-linéaires entre deux algèbres de Banach complexes unitaires A et B. En général, ces problèmes demandent la caractérisation des applications φ : A → B non nécessairement linéaires, qui laissent invariant une propriété, une relation ou un sous-ensemble. Dans le Chapitre 3, la description des applications surjectives φ de B(X) sur B(Y), qui satisfont c(φ(S)±φ(T)) = c(S ± T), (S,T ∈ B(X)), est donnée, où c(·) représente soit le module minimal, ou le module de surjectivité ou le module maximal et B(X) (resp. B(Y)) dénote l’algèbre de tous les opérateurs linéaires et bornés sur X (resp. sur Y). Dans le Chapitre 4, une question similaire pour la conorme des opérateurs, est considérée. La caractérisation des applications bicontinues et bijectives φ deB(X) surB(Y), qui satisfont γ(φ(S ± φ(T)) = γ(S ± T), (S,T ∈ B(X)), est obtenue. Le Chapitre 5 est consacré à la description des applications surjectives φ1,φ2 d’une algèbre de Banach semisimple A sur une algèbre de Banach B avec un socle essentiel, qui satisfont σ(φ1(a)φ2(b)) = σ(ab), (a,b ∈ A). Aussi, la caractérisation des applications φ de A sur B, sous les mêmes hypothèses sur A et B, qui satisfont σ(φ(a)φ(b)φ(a)) = σ(aba), (a,b ∈ A), est donnée. Comme conséquences, nous incluons les résultats obtenus au cas des algèbres B(X) et B(Y).

Algebro-Geometric Aspects of the Classical Yang-Baxter Equation

In this thesis we consider algebro-geometric aspects of the Classical Yang-Baxter Equation and the Generalised Classical Yang-Baxter Equation. In chapter one we present a method to construct solutions of the Generalised Classical Yang-Baxter Equation starting with certain sheaves of Lie algebras on algebraic curves. Furthermore we discuss a criterion to check unitarity of such solutions. In chapter two we consider the special class of solutions coming from sheaves of traceless endomorphisms of simple vector bundles on the nodal cubic curve. These solutions are quasi-trigonometric and we describe how they fit into the classification scheme of such solutions. Moreover, we describe a concrete formula for these solutions. In the third and final chapter we show that any unitary, rational solution of the Classical Yang-Baxter Equation can be obtained via the method of chapter one applied to a sheaf of Lie algebras on the cuspidal cubic curve.

Valoración de la empresa ALICORP S.A.A.

La empresa Alicorp es la empresa peruana más grande de consumo masivo de alimentos en el Perú. Esta empresa consiguió el nivel de financiamiento más barato de una empresa corporativa en el largo plazo mediante la emisión de bonos en el mercado internacional; sin embargo, la coyuntura la golpea ante los desequilibrios que enfrenta por la volatilidad de los precios de sus materias primas, el tipo de cambio y la tasa de interés; sus niveles de endeudamiento agravan la situación financiera de Alicorp en el corto plazo, descrito en su ratio de deuda hasta cambiar su clasificación por parte de la clasificadora de riesgo Moody‟s; en efecto, su situación es adversa hasta el punto de presentar resultados contables del ejercicio 2014 de insuficiencia de cumplir con sus obligaciones de corto plazo. Los resultados de 2014 anticiparon una valoración de la empresa hacia un valor fundamental esperado reducido, más aún si por el precio de la acción al mes de octubre de 2015, de S/. 5.85, con una performance volátil durante el ejercicio del mismo año; sin embargo, en función de los datos históricos y los supuestos generados, se alcanzó el valor fundamental de la acción en S/.6.67 con datos del mes de octubre; 14% por encima del valor de mercado y un retroceso del valor de mercado acumulado en 2015 de 10% aproximadamente.

“PROSPERING BECAUSE THAT’S ITS HISTORY”: BLACK RESILIENCE AND HONORS DEVELOPMENT IN HIGHER EDUCATION: MORGAN STATE UNIVERSITY AND THE STATE OF MARYLAND, 1867-1988

This study explores the origins and development of honors education at a Historically Black College and University (HBCU), Morgan State University, within the context of the Maryland higher education system. During the last decades, public and private institutions have invested in honors experiences for their high-ability students. These programs have become recruitment magnets while also raising institutional academic profiles, justifying additional campus resources. The history of higher education reveals simultaneous narratives such as the tension of post-desegregated Black colleges facing uncertain futures; and the progress of the rise and popularity of collegiate honors programs. Both accounts contribute to tracing seemingly parallel histories in higher education that speaks to the development of honors education at HBCUs. While the extant literature on honors development at Historically White Institutions (HWIs) of higher education has gradually emerged, our understanding of activity at HBCUs is spotty at best. One connection of these two phenomena is the development of honors programs at HBCUs. Using Morgan State University, I examine the role and purpose of honors education at a public HBCU through archival materials and oral histories. Major unexpected findings that constructed this historical narrative beyond its original scope were the impact of the 1935/6 Murray v Pearson, the first higher education desegregation case. Other emerging themes were Morgan’s decades-long efforts to resist state control of its governance, Maryland’s misuse of Morrill Act funds, and the border state’s resistance to desegregation. Also, the broader histories of Black education, racism, and Black citizenship from Dred Scott and Plessy, the 1863 Emancipation Proclamation to Brown, inform this study. As themes are threaded together, Critical Race Theory provides the framework for understanding the emerging themes. In the immediate wake of the post-desegregation era, HBCUs had to address future challenges such as purpose and mission. Competing with HWIs for high-achieving Black students was one of the unanticipated consequences of the Brown decision. Often marginalized from higher education research literature, this study will broaden the research repository of honors education by documenting HBCU contributions despite a challenging landscape.

Three Essays in Empirical Asset Pricing

The financial crisis of 2007-2008 led to extraordinary government intervention in firms and markets. The scope and depth of government action rivaled that of the Great Depression. Many traded markets experienced dramatic declines in liquidity leading to the existence of conditions normally assumed to be promptly removed via the actions of profit seeking arbitrageurs. These extreme events motivate the three essays in this work. The first essay seeks and fails to find evidence of investor behavior consistent with the broad 'Too Big To Fail' policies enacted during the crisis by government agents. Only in limited circumstances, where government guarantees such as deposit insurance or U.S. Treasury lending lines already existed, did investors impart a premium to the debt security prices of firms under stress. The second essay introduces the Inflation Indexed Swap Basis (IIS Basis) in examining the large differences between cash and derivative markets based upon future U.S. inflation as measured by the Consumer Price Index (CPI). It reports the consistent positive value of this measure as well as the very large positive values it reached in the fourth quarter of 2008 after Lehman Brothers went bankrupt. It concludes that the IIS Basis continues to exist due to limitations in market liquidity and hedging alternatives. The third essay explores the methodology of performing debt based event studies utilizing credit default swaps (CDS). It provides practical implementation advice to researchers to address limited source data and/or small target firm sample size.

Generalized cluster states based on finite groups

We define generalized cluster states based on finite group algebras in analogy to the generalization of the toric code to the Kitaev quantum double models. We do this by showing a general correspondence between systems with CSS structure and finite group algebras, and applying this to the cluster states to derive their generalization. We then investigate properties of these states including their projected entangled pair state representations, global symmetries, and relationship to the Kitaev quantum double models. We also discuss possible applications of these states.

2-categories and cyclic homology

The topic of this thesis is the application of distributive laws between comonads to the theory of cyclic homology. The work herein is based on the three papers 'Cyclic homology arising from adjunctions', 'Factorisations of distributive laws', and 'Hochschild homology, lax codescent,and duplicial structure', to which the current author has contributed. Explicitly, our main aims are: 1) To study how the cyclic homology of associative algebras and of Hopf algebras in the original sense of Connes and Moscovici arises from a distributive law, and to clarify the role of different notions of bimonad in this generalisation. 2) To extend the procedure of twisting the cyclic homology of a unital associative algebra to any duplicial object defined by a distributive law. 3) To study the universality of Bohm and Stefan’s approach to constructing duplicial objects, which we do in terms of a 2-categorical generalisation of Hochschild (co)homology. 4) To characterise those categories whose nerve admits a duplicial structure.

Recommended reporting standards for test accuracy studies of infectious diseases of finfish, amphibians, molluscs and crustaceans: the STRADAS-aquatic checklist

Complete and transparent reporting of key elements of diagnostic accuracy studies for infectious diseases in cultured and wild aquatic animals benefits end-users of these tests, enabling the rational design of surveillance programs, the assessment of test results from clinical cases and comparisons of diagnostic test performance. Based on deficiencies in the Standards for Reporting of Diagnostic Accuracy (STARD) guidelines identified in a prior finfish study (Gardner et al. 2014), we adapted the Standards for Reporting of Animal Diagnostic Accuracy Studies—paratuberculosis (STRADAS-paraTB) checklist of 25 reporting items to increase their relevance to finfish, amphibians, molluscs, and crustaceans and provided examples and explanations for each item. The checklist, known as STRADAS-aquatic, was developed and refined by an expert group of 14 transdisciplinary scientists with experience in test evaluation studies using field and experimental samples, in operation of reference laboratories for aquatic animal pathogens, and in development of international aquatic animal health policy. The main changes to the STRADAS-paraTB checklist were to nomenclature related to the species, the addition of guidelines for experimental challenge studies, and the designation of some items as relevant only to experimental studies and ante-mortem tests. We believe that adoption of these guidelines will improve reporting of primary studies of test accuracy for aquatic animal diseases and facilitate assessment of their fitness-for-purpose. Given the importance of diagnostic tests to underpin the Sanitary and Phytosanitary agreement of the World Trade Organization, the principles outlined in this paper should be applied to other World Organisation for Animal Health (OIE)-relevant species.

Branching bisimulation games.

Branching bisimilarity and branching bisimilarity with explicit divergences are typically used in process algebras with silent steps when relating implementations to specifications. When an implementation fails to conform to its specification, i.e., when both are not related by branching bisimilarity [with explicit divergence], pinpointing the root causes can be challenging. In this paper, we provide characterisations of branching bisimilarity [with explicit divergence] as games between Spoiler and Duplicator, offering an operational understanding of both relations. Moreover, we show how such games can be used to assist in diagnosing non-conformance between implementation and specification.

Représentations et fusion des algèbres de Temperley-Lieb originale et diluée

Les algèbres de Temperley-Lieb originales, aussi dites régulières, apparaissent dans de nombreux modèles statistiques sur réseau en deux dimensions: les modèles d'Ising, de Potts, des dimères, celui de Fortuin-Kasteleyn, etc. L'espace d'Hilbert de l'hamiltonien quantique correspondant à chacun de ces modèles est un module pour cette algèbre et la théorie de ses représentations peut être utilisée afin de faciliter la décomposition de l'espace en blocs; la diagonalisation de l'hamiltonien s'en trouve alors grandement simplifiée. L'algèbre de Temperley-Lieb diluée joue un rôle similaire pour des modèles statistiques dilués, par exemple un modèle sur réseau où certains sites peuvent être vides; ses représentations peuvent alors être utilisées pour simplifier l'analyse du modèle comme pour le cas original. Or ceci requiert une connaissance des modules de cette algèbre et de leur structure; un premier article donne une liste complète des modules projectifs indécomposables de l'algèbre diluée et un second les utilise afin de construire une liste complète de tous les modules indécomposables des algèbres originale et diluée. La structure des modules est décrite en termes de facteurs de composition et par leurs groupes d'homomorphismes. Le produit de fusion sur l'algèbre de Temperley-Lieb originale permet de «multiplier» ensemble deux modules sur cette algèbre pour en obtenir un autre. Il a été montré que ce produit pouvait servir dans la diagonalisation d'hamiltoniens et, selon certaines conjectures, il pourrait également être utilisé pour étudier le comportement de modèles sur réseaux dans la limite continue. Un troisième article construit une généralisation du produit de fusion pour les algèbres diluées, puis présente une méthode pour le calculer. Le produit de fusion est alors calculé pour les classes de modules indécomposables les plus communes pour les deux familles, originale et diluée, ce qui vient ajouter à la liste incomplète des produits de fusion déjà calculés par d'autres chercheurs pour la famille originale. Finalement, il s'avère que les algèbres de Temperley-Lieb peuvent être associées à une catégorie monoïdale tressée, dont la structure est compatible avec le produit de fusion décrit ci-dessus. Le quatrième article calcule explicitement ce tressage, d'abord sur la catégorie des algèbres, puis sur la catégorie des modules sur ces algèbres. Il montre également comment ce tressage permet d'obtenir des solutions aux équations de Yang-Baxter, qui peuvent alors être utilisées afin de construire des modèles intégrables sur réseaux.

Nonabelian holomorphic Lie algebroid extensions

International audience

WIPO and the Reinforcement of the Nagoya Protocol: Towards Effective Implementation of an Access and Benefit Sharing Regime for the Protection of Traditional Knowledge Associated with Genetic Resources

Traditional knowledge associated with genetic resources (TKaGRs) is acknowledged as a valuable resource. Its value draws from economic, social, cultural, and innovative uses. This value places TK at the heart of competing interests as between indigenous peoples who hold it and depend on it for their survival, and profitable industries which seek to exploit it in the global market space. The latter group seek, inter alia, to advance and maintain their global competitiveness by exploiting TKaGRs leads in their research and development activities connected with modern innovation. Biopiracy remains an issue of central concern to the developing world and has emerged in this context as a label for the inequity arising from the misappropriation of TKaGRs located in the South by commercial interests usually located in the North. Significant attention and resources are being channeled at global efforts to design and implement effective protection mechanisms for TKaGRs against the incidence of biopiracy. The emergence and recent entry into force of the Nagoya Protocol offers the latest example of a concluded multilateral effort in this regard. The Nagoya Protocol, adopted on the platform of the Convention on Biological Diversity (CBD), establishes an open-ended international access and benefit sharing (ABS) regime which is comprised of the Protocol as well as several complementary instruments. By focusing on the trans-regime nature of biopiracy, this thesis argues that the intellectual property (IP) system forms a central part of the problem of biopiracy, and so too to the very efforts to implement solutions, including through the Nagoya Protocol. The ongoing related work within the World Intellectual Property Organization (WIPO), aimed at developing an international instrument (or a series of instruments) to address the effective protection of TK, constitutes an essential complementary process to the Nagoya Protocol, and, as such, forms a fundamental element within the Nagoya Protocol’s evolving ABS regime-complex. By adopting a third world approach to international law, this thesis draws central significance from its reconceptualization of biopiracy as a trans-regime concept. By construing the instrument(s) being negotiated within WIPO as forming a central component part of the Nagoya Protocol, this dissertation’s analysis highlights the importance of third world efforts to secure an IP-based reinforcement to the Protocol for the effective eradication of biopiracy.

Láser Q-Switched en el manejo de ocronosis exógena: revisión sistemática de la literatura

Antecedentes: La ocronosis Exógena (OE) es una enfermedad subdiagnosticada y de difícil manejo (1). El láser Q-Switched (QS) surge como una alternativa para el tratamiento de esta (2). Objetivo: Describir las características de los pacientes, del láser QS y los desenlaces en el tratamiento de OE. Métodos: Se realizó una búsqueda de la literatura en las bases PubMed, Embase, PMC, Scielo, Elselvier, BMJ Case Reports, Journal of Medical Case Reports, Cases Journal e International Medical Case Reports Journal, desde enero del 2000 a marzo del 2016, pacientes con ocronosis exógena, 18 a 70 años, tratados con láser QS. Los artículos fueron evaluados mediante la herramienta de evaluación de validez y valor educativo de reportes de caso descrito por Pierson (3). Resultados: Se encontraron 256 artículos, 63 fueron seleccionados: 28 repetidos y 31 no cumplieron criterios de inclusión. Se escogieron 4 artículos que reportan 12 casos de pacientes con ocronosis exógena diagnosticada mediante estudio histopatológico y tratada con láser QS. Discusión: Hay poca experiencia con el láser QS en OE. En la práctica clínica se usa para tatuajes y patologías pigmentarias dérmicas con resultados satisfactorios. El pigmento dérmico en OE y la corta duración de pulso de láser QS, podrían ser el pilar de tratamiento para OE. Conclusión: El láser QS puede ser útil para el tratamiento en OE, con nivel de evidencia 3 y grado de recomendación D. Se sugiere realizar estudios clínicos con mayor grado de evidencia.

Normative reference of standing long jump for Colombian schoolchildren aged 9-17.9 years: The FUPRECOL study

El propósito del presente estudio era generar los valores normativos de salto largo para niños de 9-17.9 años, e investigar las diferencias de sexo y grupo de edad

Desórdenes muscoloesqueléticos en el trabajador avícola – intervenciones en salud

Introducción: El trabajador avícola presenta un alto riesgo de sufrir de Desórdenes Musculo esqueléticos, debido a la realización de trabajos manuales repetitivos; posición bípeda prolongada, posturas por fuera de ángulos de confort de miembros superiores Objetivo: Establecer las recomendaciones basadas en la evidencia de las intervenciones en salud para los Desórdenes Musculoesqueléticos (DME) en el trabajador avícola. Metodología: Se realizó una revisión de la literatura de los estudios primarios publicados en las bases de datos Medline, Scient Direct y Scielo desde 1990. Los artículos se clasificaron de acuerdo con: el tipo de estudio, la calidad de éste y el nivel de evidencia que aportaba. Resultados: Dentro de las recomendaciones de la evidencia disponible para el manejo integral de los pacientes de la industria avícola con riesgos o eventos asociados a DME se encuentran las siguientes: 1) incorporar un enfoque sistémico en la atención a dichos trabajadores, 2) incluir aspectos psicosociales en la identificación y explicación de los riesgos y eventos en salud, 3) permitir los descansos, microrupturas y pautas para el ejercicio, 4) facilitar la rotación y ampliación de puestos de trabajo, 5) mejorar las herramientas de trabajo - especialmente el corte de los cuchillos. Conclusiones: Las intervenciones descritas en la presente revisión, apuntan hacia el mejoramiento de la incidencia y la prevalencia de los DMS, la disminución de incapacidad temporal y definitiva por los DMS, el mejoramiento en la producción industrial y la reducción de costos tanto económicos como humanos. Sin embargo, se debe plantear la necesidad de continuar impulsando el desarrollo de investigaciones y estudios que permitan tener mayores elementos de juicio para poder realizar recomendaciones a los tipos de intervenciones propuestas. A pesar de lo anterior, las intervenciones en salud para los trabajadores de la industria avícola deben ser enfocadas desde la prestación integral de los servicios de salud.