Este trabalho tem como objetivo estudar a escrita autoficcional de Caio Fernando Abreu (1948-1996) segundo as concepções, respectivamente, dos teóricos franceses Serge Doubrovsky e Vincent Colonna, destacando-a e diferenciando-a de uma escrita pretensamente autobiográfica, segundo a concepção do também francês Philippe Lejeune. Se para Doubrovsky a escrita autoficcional é identificável pela condição do homonimato entre autor-narrador-personagem, para Colonna tal condição não se faz necessária para a identificação dessa escrita. Desse modo, no caso da autoficção segundo Colonna, para identificação da autoficção de Caio F., propõe-se o critério da sobreposição de textos com base nos paratextos genettianos. Procura-se, assim, estabelecer as bases diferenciais de uma escrita autoficcional que congrega em sua estrutura fatos reais e ficcionais elaborados pela linguagem, em contraposição a uma escrita dita autobiográfica baseada num pretenso pacto de verdade, entendendo ser a autoficção a forma de escrita amplamente praticada por Caio F. Para demonstração dessa escrita autoficcional, promove-se a análise e interpretação de textos significativos de Caio F., neles identificando as estruturas que os tornam autênticas autoficções. / This work aims to study the autofictional writings of Caio Fernando Abreu (1948-1996) according to the French scholars Serge Doubrovsky and Vincent Colonna, emphasizing and differentiating it from a supposedly autobiographic writing and also according to Philippe Lejeune. If, according to Doubrovsky, autofictional writing is recognizable by the requisite of homonimity author-narrator-character, to Colonna such requirement is not necessary. According to the latter, to identify Caio F.s autofiction, one must adopt the criteria of superposition of texts, based on Genets concept of paratext. Therefore, our goal is to establish the differential basis of an autofictional writing which creates in its structures of real and fictional facts elaborated by the language, as opposed to a writing considered autobiographic based on a intended pact of truth. Consequently, autofiction is the way of writing widely practiced by Caio F. In order to demonstrate this autofictional writing, we analyse and interprete Caios most important texts, identifying in them the structures that make them genuine autofictions.

Elaboramos um estudo detalhado de alguns aspectos d(e uma versão d)a correspondência AdS/CFT, conjeturada por Maldacena e Witten, entre teorias quânticas de campo num fundo gravitacional dado por um espaço-tempo assintoticamente anti-de Sitter (AAdS), e teorias quânticas de campos conformalmente covariantes no infinito conforme (no sentido de Penrose) deste espaço-tempo, aspectos estes: (a) independentes d(o par d)e modelos específicos em Teoria Quântica de Campos, e (b) suscetíveis a uma reformulação em moldes matematicamente rigorosos. Adotamos como ponto de partida o teorema demonstrado por Rehren no contexto da Física Quântica Local (também conhecida como Teoria Quântica de Campos Algébrica) em espaços-tempos anti-de Sitter (AdS), denominado holografia algébrica ou dualidade de Rehren. O corpo do presente trabalho consiste em estender o resultado de Rehren para uma classe razoavelmente geral de espaços-tempos AAdS d-dimensionais (d>3), escrutinar como as propriedades desta extensão são enfraquecidas e/ou modificadas em relação ao espaço-tempo AdS, e como efeitos gravitacionais não-triviais se manifestam na teoria quântica no infinito conforme. Dentre os resultados obtidos, citamos: condições razoavelmente gerais sobre geodésicas nulas no interior (cuja plausibilidade justificamos por meio de resultados de rigidez geométrica) não só garantem que a nossa generalização é geometricamente consistente com causalidade, como também permite uma reconstrução ``holográfica\'\' da topologia do interior na ausência de horizontes e singularidades; a implementação das simetrias conformes na fronteira, que associamos explicitamente a uma família de isometrias assintóticas do interior construída de maneira intrínseca, ocorre num caráter puramente assintótico e é atingida dinamicamente por um processo de retorno ao equilíbrio, mediante condições de contorno adequadas no infinito; efeitos gravitacionais podem eventualmente causar obstruções à reconstrução da teoria quântica no interior, ou por torná-la trivial em regiões suficientemente pequenas ou devido à existência de múltiplos vácuos inequivalentes, que por sua vez levam à existência de excitações solitônicas localizadas ao redor de paredes de domínio no interior, similares a D-branas. As demonstrações fazem uso extensivo de geometria Lorentziana global. A linguagem empregada para as teorias quânticas relevantes para nossa generalização da dualidade de Rehren segue a formulação funtorial de Brunetti, Fredenhagen e Verch para a Física Quântica Local, estendida posteriormente por Sommer para incorporar condições de contorno. / We elaborate a detailed study of certain aspects of (a version of) the AdS/CFT correspondence, conjectured by Maldacena and Witten, between quantum field theories in a gravitational background given by an asymptotically anti-de Sitter (AAdS) spacetime, and conformally covariant quantum field theories in the latter\'s conformal infinity (in the sense of Penrose), aspects such that: (a) are independent from (the pair of) specific models in Quantum Field Theory, and (b) susceptible to a recast in a mathematically rigorous mould. We adopt as a starting point the theorem demonstrated by Rehren in the context of Local Quantum Physics (also known as Algebraic Quantum Field Theory) in anti-de Sitter (AdS) spacetimes, called algebraic holography or Rehren duality. The main body of the present work consists in extending Rehren\'s result to a reasonably general class of d-dimensional AAdS spacetimes (d>3), scrutinizing how the properties of such an extension are weakened and/or modified as compared to AdS spacetime, and probing how non-trivial gravitational effects manifest themselves in the conformal infinity\'s quantum theory. Among the obtained results, we quote: not only does the imposition of reasonably general conditions on bulk null geodesics (whose plausibility we justify through geometrical rigidity techniques) guarantee that our generalization is geometrically consistent with causality, but it also allows a ``holographic\'\' reconstruction of the bulk topology in the absence of horizons and singularities; the implementation of conformal symmetries in the boundary, which we explicitly associate to an intrinsically constructed family of bulk asymptotic isometries, have a purely asymptotic character and is dynamically attained through a process of return to equilibrium, given suitable boundary conditions at infinity; gravitational effects may cause obstructions to the reconstruction of the bulk quantum theory, either by making the latter trivial in sufficiently small regions or due to the existence of multiple inequivalent vacua, which on their turn lead to the existence of solitonic excitations localized around domain walls, similar to D-branes. The proofs make extensive use of global Lorentzian geometry. The language employed for the quantum theories relevant for our generalization of Rehren duality follows the functorial formulation of Local Quantum Physics due to Brunetti, Fredenhagen and Verch, extended afterwards by Sommer in order to incorporate boundary conditions. (An English translation of the full text can be found at arXiv:0712.0401)

Sejam GI = (VI ,AI) e GM = (VM,AM) dois grafos simples. Um mapeamento de GI para GM é um conjunto de associações, tal que cada vértice de VI está associado a um vértice de VM, e cada aresta de AI está associada a um par de vértices de VM. A cada possível associação é atribuído um custo. O problema de correspondência inexata entre grafos (PCIG) consiste em encontrar um mapeamento de GI para GM, tal que a soma dos custos de suas associações seja mínima. Nesta dissertação, resumimos os resultados encontrados na literatura sobre o PCIG e algumas de suas variações. Os resultados que incluímos aqui tratam sobre a questão de como formular o PCIG e algumas de suas variações, através de programação linear inteira. Provamos alguns resultados de complexidade computacional que relacionam variações do PCIG a problemas clássicos, como isomorfismo e partição de grafos. Fornecemos uma formulação através de programação linear inteira para o PCCA (uma variante do PCIG com conexidade e cobertura de arestas). Mostramos que o PCCA é NP-difícil quando os grafos de entrada são completos ou árvores (chamamos o segundo caso de PCCA para árvores). Apresentamos uma formulação linear inteira e um algoritmo - que é polinomial se o grau máximo dos vértices de VM for limitado por uma constante - para o PCCA para árvores. Mostramos um caso especia em que o PCCA para árvores pode ser resolvido em tempo polinomial. Por último, exibimos alguns resultados experimentais, inclusive com instâncias reais de uma aplicação do problema. / Let GI = (VI ,AI) and GM = (VM,AM) be two simple graphs. A mapping from GI to GM is an association set, such that each vertex in VI is associated to a vertex in VM, and each edge in AI is associated to a pair of vertices of VM. A cost is defined to each possible association. The inexact graph correspondence problem (IGCP) consists in finding a mapping from GI to GM, such that the sum of its associations costs is minimized. In this dissertation, we summarize the results found in the literature about the IGCP and some variations. The results included here address the question of how to formulate the IGCP and some variations, using integer linear programming. We prove some computational complexity results which relate IGCP variations with classical problems, like graph isomorphism and partitioning. We give an integer linear programming formulation to the ICEC (IGCP with connectivity and edges cover). We show that the ICEC is NP-hard when the input graphs are complete or trees (we call the second case ICEC for trees). We introduce an integer linear formulation and an algorithm - which has polynomial running time if the vertices of VM have maximum degree bounded by a constant - to the ICEC for trees. We show a especial case in which the ICEC for trees can be solved in polynomial time. Finally, we present some experimental results, also with instances of a real application of the problem.

Ce travail est une étude systématique de la correspondance de Pierre des Noyers, décortiquée et recontextualisée pour mieux comprendre à la fois le regard posé par le secrétaire sur la Pologne de son temps mais surtout son évolution au cours de plusieurs décennies. Il permet notamment de déceler de nombreuses références aux auteurs polonais dans les réflexions du secrétaire et de la qualité de ses connaissances sur son pays d’adoption. Loin d’être simplement secrétaire de la reine Louise-Marie, il devient au fil des années un véritable agent au service de la souveraine et de la France et relie les deux cours par une intense activité épistolaire, tout en s’imprégnant complètement de la mentalité nobiliaire du pays, notamment son désir de liberté. La première partie est une étude sur la Pologne telle que la découvre Pierre des Noyers en 1645, à savoir sa géographie, ses institutions et l’idéologie qui anime la noblesse du pays. Elle résume à la fois les contraintes que rencontre Louise-Marie dans son action politique ainsi que l’univers mental dans lequel Pierre des Noyers se fond peu à peu. La deuxième partie est une étude de l’entourage de la reine de Pologne, particulièrement entre 1660 et 1667, tel qu’il apparaît dans la correspondance de son secrétaire. Cette représentation est capitale, car c’est l’image du parti de la reine tel qu’il est vu en France et elle influence grandement les instructions envoyées par la France à ses ambassadeurs. La troisième partie se concentre sur Pierre des Noyers lui-même, notamment ses centres d’intérêts et son rôle après la mort de sa protectrice. Grâce la confiance qu’il a acquise au sein des Polonais partisans de la reine de Pologne et de ses projets politiques, Pierre des Noyers devient l’un de leurs canaux d’expression auprès de la France. / This work is a systematic study of Pierre des Noyers’ correspondence, analysed and contextualized with the aim to understand at the same time the secretary’s considerations about Poland but mostly their evolution decade after decade. Such study allows us to find numerous references to Polish thinkers of the time and assess the general quality of his knowledge about his new motherland. Far from being just a secretary for Louise-Marie, Pierre des Noyers becomes year after year a true agent at the service of the queen as well as France, who links both courts thanks to an intense epistolary activity, all while being strongly influenced by the Polish nobility’s mentality, especially their desire for liberty. The first part is a study on Poland in 1645, at the time when Pierre des Noyers settles in Warsaw : its geography, institutions and the nobility’s ideology. Here are summarized constraints encountered by the queen Louise-Marie while pursuing her political ageda as well as the mental universe in which Pierre des Noyers slowly blends in. The second part deals with the queen’s entourage, especially between 1660 and 1667, according to her secretary’s correspondence. This representation is of crucial importance because this is the picture that France gets about the queen’s political party, which in turn greatly influences France’s actions and instructions sent to their ambassadors. The last part is about Pierre des Noyers himself; especially his various interests and his role after Louise-Marie’s death. Thanks to the general confidence he inspires among the queen’s partisans, Pierre des Noyers becomes one of their main channel of expression and influence in France.

In der gegebenen Arbeit werden hoeherdimensionale lokale Schiefkoerper, die natuerliche Verallgemeinerung von n-dimensionalen lokalen Koerpern, untersucht. Wir untersuchen nur Schiefkoerper mit kommutativem Restschiefkoerper. Wir geben eine hinreichende Bedingung fuer die Spaltbarkeit von Schiefkoerpern. Naemlich, ein lokaler Schiefkoerper ist spaltbar, falls er einen kanonischen Automorphismus unendlicher Ordnung hat. Wir klassifizieren alle Schiefkoerper, die diese Bedingung bis auf Isomorphie erfuellen. Die Ergebnisse sind unabhaengig von der Charakteristik des Schiefkoerpers. Wir klassifizieren auch alle lokalen spaltbaren Schiefkoerper von Charakteristik 0 mit kommutativem Restschiefkoerper und mit kanonischem Automorphismus von endlicher Ordnung. Unter anderem geben wir ein Kriterium, wann zwei Elemente aus einem solchen Schiefkoerper konjugiert sind. Als Folgerung beweisen wir, dass fast alle solche Schiefkoerper unendlichdimensional ueber ihrem Zentrum sind. Ausserdem beweisen wir, dass das Skolem-Noether Theorem nur in dem Fall des klassischen Ringes der Pseudodifferentialoperatoren richtig ist. Dann erhalten wir Anwendungen dieser Theorie auf die Krichever Korrespondenz. Naemlich, wir bekommen Verallgemeinerungen von klassischen KP-Gleichungen (Hierarchie). Die Untersuchung von lokalen Schiefkoerpern fuehrte zu einigen neuen unerwarteten Ergebnissen in der Bewertungstheorie auf endlichdimensionalen Algebren. Wir bekommen den Zerlegungssatz fuer wilde Divisionalgebren ueber Laurentreihen-Koerpern mit beliebigem Restkoerper der Charakteristik groesser als zwei. Dieses Theorem ist die Verallgemeinerung des Zerlegungssatzes fuer zahme Divisionalgebren von Jacob und Wadsworth. Als Folgerung bekommen wir die positive Antwort auf die folgende Vermutung: Fuer jede Divisionalgebra A ueber den Koerper F((t)), wo F ein quasialgebraisch abgeschlossener Koerper ist, muss der Exponent von A gleich dem Index von A sein. Dann erhalten wir Anwendungen dieser Theorie auf die Krichever Korrespondenz. Naemlich, wir bekommen Verallgemeinerungen von klassischen KP-Gleichungen (Hierarchie). Anderseits, fuehrt das Problem der Klassifizierung lokaler Schiefkoerper zu dem Problem der Klassifizierung der Konjugationsklassen in der Automorphismengruppe von n-dimensionalen lokalen (kommutativen) Koerpern. Wir loesen diese Aufgabe fuer die Gruppe der stetigen Automorphismen von 1- und 2-dimensionalen lokalen Koerpern. / In this work we study local skew fields, which are natural generalization of n-dimensional local fields, and their applications to the theory of central division algebras over henselian fields. We study mostly two-dimensional local skew fields with commutative residue skew field. The sufficient condition for a skew field to be split is given. Namely, a local skew field splits if the canonical automorphism has infinite order. We classify all the skew fields which posess this condition up to isomorphism. These results don't depend on the characteristic of a skew field. We classify all local splittable skew fields of characteristic 0 with commutative residue skew field and with the canonical automorphism of finite order as well. Some other properties of local skew fields are studied. In particular, we give a criterium when two elements from such a skew field conjugate. As a corollary we prove that almost all such skew fields are infinite dimensional over their center. Also we prove that the Scolem-Noether theorem holds only in the case of the classical ring of pseudo-differential operators. Studying of local skew fields leads to some new unexpected results in the valuation theory on finite dimensional division algebras. We get a decomposition theorem for some class of wild division algebras over a Laurent series field with arbitrary residue field of characteristic greater than two. This theorem is a generalization of the decomposition theorem for tame division algebras given by B.Jacob and A.Wadsworth. As a corollary we get the positive answer on the following conjecture: the exponent of a division algebra is equal to its index if the centre of this algebra is a Laurent series field with arbitrary quasialgebraically closed residue field. Using some ideas of A.N. Parshin, who raised a problem of classifying local skew fields, we get some applications of developed theory to the Krichever correspondence. Namely, we get some generalizations of the classical KP-equations (hierarchy). The problem of classification of local skew fields leads to the problem of classification of conjugacy classes in the automorphism group of an n-dimensional local (commutative) field. We solve this problem for the group of continuous automorphisms of one- and two- dimensional local fields.

Die Arbeit beschäftigt sich mit zwei Themen: den nichtkommutativen Yang-Mills-Theorien und der AdS/CFT-Korrespondenz. Im ersten Teil wird eine teilweise Aufsummation der theta-entwickelten Störungstheorie untersucht. Letztere stellt einen Weg dar, nichtkommutative Yang-Mills-Theorien mit beliebigen Eichgruppen G als Störungsentwicklung im Nichtkommutativitätsparameter theta zu definieren. Es wird gezeigt, daß man im Fall, daß G eine echte Untergruppe von U(N) ist, die ungleich einer U(M) ist (M / This thesis addresses two topics: noncommutative Yang-Mills theories and the AdS/CFT correspondence. In the first part we study a partial summation of the theta-expanded perturbation theory. The latter allows one to define noncommutative Yang-Mills theories with arbitrary gauge groups G as a perturbation expansion in the noncommutativity parameter theta. We show that for G being a subset of U(N) but not equal to U(M), M

Das Wechselspiel zwischen String- und Eichtheorien hat in den letzten Jahren zu vielen neuen Einsichten geführt. Das herausragendste Beispiel ist die sogenannte AdS/CFT Korrespondenz, eine Dualität zwischen Stringtheorien auf Anti-de Sitter-Räumen (AdS) und konformen Eichtheorien auf deren Rand. Die Untersuchung von Stringtheorie auf ebenfrontigen Gravitationswellen, die sich im sogenannten Penrose-Limes aus AdS-Raumzeiten gewinnen lassen, erlaubt es, diese Dualität über die niederenergetische Supergravitationsnäherung hinausgehend zu überprüfen. Verallgemeinerte ebenfrontige Gravitationswellen sind auch für sich gesehen interessant, da sie eine grosse Klasse von Raumzeiten bilden, die exakte klassische Lösungen der Stringtheorie sind. In dieser Arbeit werden Aspekte der Stringtheorie auf ebenfrontigen Gravitationswellen untersucht. Besonderes Interesse gilt dabei der Verbindung dieser Stringtheorien zu Eichtheorien. Wechselwirkungen von Strings in derjenigen Gravitationswellen-Raumzeit mit maximaler Supersymmetrie werden im Rahmen der Lichtkegel-Stringfeldtheorie behandelt. Viele Ergebnisse, die für den Fall der flachen Minkowski-Raumzeit bekannt sind, werden dabei vollständig auf die komplizierteren ebenfrontigen Gravitationswellen verallgemeinert. Die führenden nicht-planaren Korrekturen zu den anomalen Dimensionen von Operatoren in der Eichtheorie, die eine duale Beschreibung von Stringzuständen liefern, werden innerhalb der Lichtkegel-Stringfeldtheorie reproduziert. / The interplay between string and gauge theory has led to many new insights in recent years. The most prominent example is the AdS/CFT correspondence, a duality between string theory on Anti-de Sitter (AdS) spaces and conformal gauge theories defined on their boundary. The study of string theory on plane wave backgrounds, which are connected to AdS by the Penrose limit, opens up the possibility of testing this duality beyond the low-energy supergravity approximation. Generalized plane wave geometries are interesting in themselves, as they provide a large class of exact classical space-time backgrounds for string theory. In this thesis aspects of string theory on plane wave backgrounds are studied, with an emphasis on the connection to gauge theory. String interactions in the plane wave space-time with maximal supersymmetry are investigated in the framework of light-cone string field theory. In the process, many results that had been found for the case of flat Minkowski space-time are generalized to the more complex plane wave background. The leading non-planar corrections to the anomalous dimensions of gauge theory operators dual to string states are recovered within light-cone string field theory.

No description available.

Au début du XVIIIe siècle, la Hongrie et les Pays-Bas méridionaux sont l’objet de la convoitise de la diplomatie française. Ces provinces périphériques de l’Empire habsbourgeois s’opposent aux politiques de centralisation menées par Madrid et Vienne. Afin de réaliser ses ambitions dynastiques, Louis XIV utilise ce contexte pour déstabiliser ces territoires dans le cadre d’une guerre de Succession d’Espagne engendrée par le décès de Charles II d’Espagne, le premier novembre 1700. Le Roi-Soleil mobilise ses armées et ses diplomates, dans la continuité des alliances de revers forgées lors des siècles précédents. Le marquis des Alleurs et le président Pierre Rouillé de Marbeuf, agents de Louis XIV, mi-espions, mi-ambassadeurs, sont respectivement envoyés en Hongrie auprès du prince hongrois rebelle François Rakóczi et aux Pays-Bas méridionaux aux côtés du gouverneur général de la province et maître de l’Électorat de Bavière, Maximilien-Emmanuel de Wittelsbach. Loin du fracas des champs de bataille de la guerre de Succession d’Espagne, une guerre de l’ombre se fait plus dure. La quête du renseignement devient la préoccupation croissante des cours européennes. La confidentialité des correspondances épistolaires est l’objet de toutes les attentions. Cette étude a l’ambition de retracer le cadre des ambitions françaises en Hongrie et aux Pays-Bas méridionaux au début du XVIIIe siècle. Les alliances de revers et les manœuvres militaires de la guerre de Succession d’Espagne replacent ces deux pays d’Europe au cœur des luttes dynastiques, diplomatiques, et militaires opposant les Bourbons et les Habsbourg pour la domination de l’Europe. / At the beginning of the 18th century, Hungary and the Southern Netherlands are coveted by the French diplomacy. Those peripheral provinces of The Habsburg Empire oppose the centralization policy lead by Madrid and Vienna. In order to realize his dynastic ambitions, Louis XIV uses this context to destabilize these territories during the War of the Spanish Succession triggered by the death of the last Habsburg King of Spain, Charles II, the first November 1700. Louis XIV mobilizes his army and his ambassadors in the continuity of the foreign alliances « Alliance de revers » that have been conducted during centuries. The marquis des Alleurs and the president Pierre Rouillé de Marbeuf, agents of Louis XIV, half spy, half ambassadors, are respectively send in Hungary nearby the rebel prince François Rakoczi and in the Southern Netherlands nearby the general governor of the province and Elector of Bavaria, Maximilien-Emmanuel de Wittelsbach. Far from the din of the battlefield of the Spanish Succession, another war hardens. The battle for information’s became the first preoccupation of European courts. The confidentiality of the epistolary correspondences is a crucial object of attention. The purpose of this study is to define the framework of the French ambitions in Hungary and the Southern Netherlands at the beginning of the 18th century. The « alliance de revers » and military moves during the War of the Spanish Succession replace those two European countries at the heart of dynastic, diplomatic and military conflicts opposing the Bourbon’s and the Habsburg’s for European hegemony.

Soit K/F une extension quadratique modérément ramifiée de corps locaux non archimédiens. Soit GLm (D) une forme intérieure de GLn (F) et GLμ (∆) = (Mm (D) ⊗ K)× . Alors GLμ (∆) est une forme intérieure de GLn (K), les quotients GLμ (∆)/GLm (D) et GLn (K)/GLn (F) sont des espaces symétriques. En utilisant la paramétrisation de Silberger et Zink, nous déterminons des critères de GLm (D)-distinction pour les cuspidales de niveau 0 de GLμ (∆), puis nous prouvons qu’une cuspidale de niveau 0 de GLn (K) est GLn (F)-distinguée si et seulement si son image par la correspondance de Jacquet-Langlands est GLm (D)-distinguée. Puis, dans le cas particulier où μ = 2 et m = 1, nous regardons le cas des séries discrètes de niveau 0 non cuspidales, en utilisant le système de coefficients sur l’immeuble associé à la représentation, donné par Schneider et Stuhler. / Let K/F be a tamely ramified quadratic extension of non-archimedean locally compact fields. Let GLm (D) be an inner form of GLn (F) and GLμ (∆) = (Mm (D)⊗K)× . Then GLμ (∆) is an inner form of GLn (K), the quotients GLμ (∆)/GLm (D) and GLn (K)/GLn (F) are symmetric spaces. Using the parametrization of Silberger and Zink, we determine conditions of GLm (D)-distinction for level zero cuspidal representations of GLμ (∆). We also show that a level zero cuspidal representation of GLn (K) is GLn (F)-distinguished if and only if its image by the Jacquet-Langlands correspondence is GLm (D)-distinguished. Then, we treat the case of level zero non supercuspidal representations when μ = 2 and m = 1 using the coefficient system of the Bruhat-Tits building associated to the representation by Schneider and Stuhler.