Dans cette thèse nous considérons des familles $pi : cc X to S$ de variétés compactes k"ahlerinnes au-dessus d'une base lisse $S$. Nous construisons un cône de K"ahler relatif $p : cc K to S$ au-dessus de la base de déformations. Ensuite nous démontrons l'existence des métriques hermitiennes naturelles sur les espaces totals $cc K$ et $cc X times_S cc K$ qui généralisent la métrique de Weil--Petersson classiuque associée aux familles polarisées de telles variétés. Nous obtenons aussi une métrique riemannienne sur le cône de K"ahler d'une variété compacte k"ahlerienne quelconque. Nous exprimons son tenseur de courbure à l'aide d'un plongement du cône de K"ahler dans l'espace de toutes métriques hermitiennes sur la variété. Nous démontrons aussi que si les variétés en question sont de fibré canonique trivial, alors notre métrique est la forme de courbure d'un fibré en droites holomorphe. Nous donnons ensuite quelques exemples et applications. / In this thesis we consider families $pi : cc X to S$ of compact K"ahler manifolds with zero first Chern class over a smooth base $S$. We construct a relative complexified K"ahler cone $p : cc K to S$ over the base of deformations. Then we prove the existence of natural hermitian metrics on the total spaces $cc K$ and $cc X times_S cc K$ that generalize the classical Weil--Petersson metrics associated to polarized families of such manifolds. As a byproduct we obtain a Riemannian metric on the K"ahler cone of any compact K"ahler manifold. We obtain an expression of its curvature tensor via an embedding of the K"ahler cone into the space of hermitian metrics on the manifold. We also prove that if the manifolds in our family have trivial canonical bundle, then our generalized Weil--Petersson metric is the curvature form of a positive holomorphic line bundle. We then give some examples and applications.

CoordenaÃÃo de AperfeiÃoamento de Pessoal de NÃvel Superior / Este trabalho terà como foco explicitar os conceitos de InstruÃÃo e EducaÃÃo em Eric Weil, bem como a relaÃÃo existente entre eles, sendo esta relaÃÃo um dos instrumentos fundamentais para efetivaÃÃo de uma aÃÃo razoÃvel; o que mostra o sentido radicalmente Ãtico da filosofia no pensamento de Weil. O pensamento do filÃsofo reflete a questÃo da educaÃÃo sob o aspecto da moralidade. A moral formal kantiana serve de fundamento para a reflexÃo weiliana sobre a aÃÃo educativa razoÃvel. Segundo Weil, o papel histÃrico do educador à levar o indivÃduo a discernir sobre a razÃo no mundo, visto que o objetivo da educaÃÃo à oferecer ao indivÃduo violento um modo de agir virtuoso com os outros membros da comunidade. Daà decorrem as diferenÃas entre educaÃÃo e instruÃÃo. A valorizaÃÃo excessiva da instruÃÃo, da procura por qualificaÃÃo e da formaÃÃo de mÃo-de-obra para o sistema capitalista esconde o que deveria ser o verdadeiro sentido da educaÃÃo, a saber: educar os homens para que se submetam espontaneamente à lei universal (natural), uma educaÃÃo que se opÃe a ser escravo das paixÃes e se realiza por meio delas. / This work will focus on explaining the concepts of Instruction and Education of Eric Weil, as well as the relation between them, which is a fundamental tool for effecting a reasonable action, which shows the extremely ethical sense of philosophy in Weilâs thought. The thought of the philosopher reflects the issue of education under the aspect of morality. The formal Kantian morality can be used as a basis for Weil reflection on the reasonable educational action. According to Weil, the historical role of the educator is to teach the individual to discern the reason in the world, since the goal of education is to offer the violent individual a way of virtuous acting with other community members. Hence derive the differences between education and instruction. The overvaluation of the instruction, the demand for skills and training of skilled labor for the capitalist system hide what should be the true meaning of education which is to educate men to undergo spontaneously to the universal law (natural), an education in opposite of being a slave of passions and to be held by them.

Soit F une extension finie du corps des nombres p-adiques, de corps résiduel Fq. Pour un groupe réductif G sur F, les conjectures de Langlands prédisent une classification des représentations lisses irréductibles de G(F) en termes du groupe dual G^. En particulier, la donnée d’un homomorphisme de groupes duaux de H^ vers G^ doit se traduire par un transfert des représentations de H(F) vers G(F). Pour H = SO2n+1, et G = GL2n, l’injection canonique de H^ vers G^ fournit un transfert des représentations de H(F) vers G(F) qui a été obtenu récemment (pour les représentations génériques) par Jiang et Soudry.Cependant, leurs méthodes utilisent des arguments globaux et l’objet de ce travail consiste à décrire explicitement ce transfert, dans le cas particulier où n = 2 (le cas n = 1 étant déjà connu), et pour des représentations génériques de niveau zéro, lesquelles proviennent essentiellement de représentations du groupe réductif fini SO5 sur le corps résiduel de F. Pour cela, l’isomorphisme entre SO5 et PGSp4 et l’isogénie entre GL4 et GSO6 suggèrent que l’on peut réaliser un transfert entre les représentations de SO5 et celles de GL4 au moyen d’une correspondance de Howe. Nous présentons ici une généralisation des travaux de Srinivasan, qui nous permet d’obtenir la projection uniforme de la représentation de Weil associée à une paire duale de groupes de similitudes lorsque q est assez grand. / Let F be a p-adic field, and let k be its residue field. According to Langlands' conjectures, smooth irreducible representations of a reductive group G defined over F should be classified in terms of the dual groupe G^. In particular, given a homomorphism from H^ to G^, there should be a lift from the representations of H(F) to the representations of G(F). When H = SO2n+1 and G = GL2n, the canonical injection from H^ to G^ should induce a lift from representations of SO2n+1 to representations of GL2n, and this was studied by Jiang and Soudry.However, the arguments used by Jiang and Soudry are of global nature and the aim of this work is to describe explicitly this lift, when n = 2 (the case n = 1 is already known), for level zero generic representations, which are essentially determined by parameters over the finite residue field. Here the isomorphism between SO5 and PGSp4, as well as the isogeny between GL4 and GSO6 suggest that the lift could be realised by a sort of Howe correspondence.In this work, we generalize a result of Srinivasan and give the uniform projection of the Weil representation associated to a dual pair of similitude groups over Fq, when q is big enough.

The dissertation summarises the life and work of renowned Czech Jewish writer, translator, journalist and scientist Jiří Weil (1900-1959) in the reference period 1939-1959. It presents the results of research conducted in more than twenty, both domestic and foreign archives (Literary Archive of the Museum of National Literature, Security Services Archive, National Archive, Archive of the Jewish Museum in Prague, Beroun Archive, Central Military Archive, Russian State Archive of Socio-Political History and others), accompanied by the accounts of selected eyewitnesses, placing events in a narrower historical context and presenting the life and work of Jiří Weil from a hitherto unknown perspective. Based on surviving archival material, Jiří Weil is presented not only as a hitherto well-known prosaist, but also as a translator of Polish and Hebrew, a poet, playwright, scientist and editor of a world-famous non-literary work that became the inspiration for other artistic transpositions (e.g. a play, film), Dětské kresby na zastávce k smrti 1942-1945 (Children's Drawings and Poems. Terezín 1942-1945). Brief analyses of the writer's selected published works, written and published in the reference period from 1939 to 1959, as well as unpublished works not yet known to the public, are also examined in a...

UCHÔA, Marcela da Silva. Educação e instrução na Filosofia Política de Eric Weil. 2013. 79f. – Dissertação (Mestrado) – Universidade Federal do Ceará, Programa de Pós-graduação em Filosofia, Fortaleza (CE), 2013. / Submitted by Márcia Araújo (marcia_m_bezerra@yahoo.com.br) on 2013-11-13T12:25:30Z No. of bitstreams: 1 2013-DIS-MSUCHOA.pdf: 618107 bytes, checksum: aeea594827206e63afbf884998f9a009 (MD5) / Approved for entry into archive by Márcia Araújo(marcia_m_bezerra@yahoo.com.br) on 2013-11-13T12:44:07Z (GMT) No. of bitstreams: 1 2013-DIS-MSUCHOA.pdf: 618107 bytes, checksum: aeea594827206e63afbf884998f9a009 (MD5) / Made available in DSpace on 2013-11-13T12:44:07Z (GMT). No. of bitstreams: 1 2013-DIS-MSUCHOA.pdf: 618107 bytes, checksum: aeea594827206e63afbf884998f9a009 (MD5) Previous issue date: 2013 / This work will focus on explaining the concepts of Instruction and Education of Eric Weil, as well as the relation between them, which is a fundamental tool for effecting a reasonable action, which shows the extremely ethical sense of philosophy in Weil’s thought. The thought of the philosopher reflects the issue of education under the aspect of morality. The formal Kantian morality can be used as a basis for Weil reflection on the reasonable educational action. According to Weil, the historical role of the educator is to teach the individual to discern the reason in the world, since the goal of education is to offer the violent individual a way of virtuous acting with other community members. Hence derive the differences between education and instruction. The overvaluation of the instruction, the demand for skills and training of skilled labor for the capitalist system hide what should be the true meaning of education which is to educate men to undergo spontaneously to the universal law (natural), an education in opposite of being a slave of passions and to be held by them. / Este trabalho terá como foco explicitar os conceitos de Instrução e Educação em Eric Weil, bem como a relação existente entre eles, sendo esta relação um dos instrumentos fundamentais para efetivação de uma ação razoável; o que mostra o sentido radicalmente ético da filosofia no pensamento de Weil. O pensamento do filósofo reflete a questão da educação sob o aspecto da moralidade. A moral formal kantiana serve de fundamento para a reflexão weiliana sobre a ação educativa razoável. Segundo Weil, o papel histórico do educador é levar o indivíduo a discernir sobre a razão no mundo, visto que o objetivo da educação é oferecer ao indivíduo violento um modo de agir virtuoso com os outros membros da comunidade. Daí decorrem as diferenças entre educação e instrução. A valorização excessiva da instrução, da procura por qualificação e da formação de mão-de-obra para o sistema capitalista esconde o que deveria ser o verdadeiro sentido da educação, a saber: educar os homens para que se submetam espontaneamente à lei universal (natural), uma educação que se opõe a ser escravo das paixões e se realiza por meio delas.

We introduce decompositions determined by Galois field and degree of the space of algebraic numbers modulo torsion and the space of algebraic points on an elliptic curve over a number field. These decompositions are orthogonal with respect to the natural inner product associated to the L² Weil height recently introduced by Allcock and Vaaler in the case of algebraic numbers and the inner product naturally associated to the Néron-Tate canonical height on an elliptic curve. Using these decompositions, we then introduce vector space norms associated to the Mahler measure. For algebraic numbers, we formulate L[superscript p] Lehmer conjectures involving lower bounds on these norms and prove that these new conjectures are equivalent to their classical counterparts, specifically, the classical Lehmer conjecture in the p=1 case and the Schinzel-Zassenhaus conjecture in the p=[infinity] case. / text

This thesis examines the Mordell-Weil group for application in cryptography. This approach has recently been proposed by Gerhard Frey. The use of the Mordell-Weil group for discrete logarithm schemes is a variant of elliptic curve cryptosystems. We extended the original idea by Frey with the goal of a performance improvement. The arithmetic complexity using the Mordell-Weil group will be compared to ordinary elliptic curve cryptosystems. The main goals of this thesis are (1) to investigate the algorithmic complexity of Mordell-Weil cryptosystems relative to elliptic curve cryptosystems; (2) the appropriate selection of the group parameters for a successful adaptation to different platforms; (3) a C++ library which makes it possible to easily use this algebra for cryptographic systems based on groups; and (4) to obtain software performance measures for the new cryptosystem. Point multiplication, the crucial operation for elliptic curve cryptosystems, is more than 20% less complex in the Mordell-Weil group than in an ordinary elliptic curve while preserving the same level of security. We show how to further improve the system such that it is particularly suited to 32-bit and 16-bit hardware platforms. The speed-up of the Mordell-Weil group approach comes at the cost of a slightly larger bit-size that is needed to represent a curve point and a more costly curve generation.

A new cryptanalytic application is proposed for a number theoretic tool Weil sum to the birthday attack against multivariate quadratic trapdoor function. This new customization of the birthday attack is developed by evaluating the explicit Weil sum of the underlying univariate polynomial and the exact number of solutions of the associated bivariate equation. I designed and implemented new algorithms for computing Weil sum values so that I could explicitly identify some class of weak Dembowski- Ostrom polynomials and the equivalent forms in the multivariate quadratic trapdoor function. This customized attack, also regarded as an equation solving algorithm for the system of some special quadratic equations over finite fields, is fundamentally different from the Grobner basis methods. The theoretical observations and experiments show that the required computational complexity of the attack on these weak polynomial instances can be asymptotically less than the square root complexity of the common birthday attack by a factor as large as 2^(n/8) in terms of the extension degree n of F2n. I also suggest a few open problems that any MQ-based short signature scheme must explicitly take into account for the basic design principles.

Akademisk avhandling--Teologiska fakulteten--Åbo--Akademi, 2002. / Bibliogr. p. 213-221.

Project (M.A.) - Simon Fraser University, 2005. / Project (Liberal Studies Program) / Simon Fraser University. Also issued in digital format and available on the World Wide Web.