Lê Cycles and Milnor Classes of Compact Hypersurfaces

We determine the relation amongst the global Lê cycles and the Milnor classes of analytic hypersurfaces defined by a section of a very ample line bundle over a compact complex manifold. The key point is finding appropriate expressions for the global Lê cycles and for the Milnor classes in terms of polar varieties. Our starting points are an interpretation of the Lê cycles given by T. Gaffney and R. Gassler, a formula by A. Parusinski and P. Pragacz for the Milnor classes via McPherson’s functor, and a conjecture of J.-P. Brasselet, that we prove, stating that Milnor classes can be expressed in terms of polar varieties. We then use the work by R. Piegne for Mather classes, by J. Schürmann and M. Tibăr for MacPherson’s classes for constructible functions, and by D. Massey for an extension of the local Lê cycles for constructible sheaves.

Equações de Painlevé mistas e modelo PIII-PV simétrico

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

A ocupação da terra na formação do municipio de Ourinhos-SP

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Open-closed superstring amplitudes using vertex operators in AdS5xS5

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

A new limit of the AdS(5) x S-5 sigma model

Using the pure spinor formalism, a quantizable sigma model has been constructed for the superstring in an AdS(5) X S-5 background with manifest PSU(2,2 vertical bar 4) invariance. The PSU(2,2 vertical bar 4) metric g(AB) has both vector components gab and spinor components g, 3, and in the limit where the spinor components g, 3 are taken to infinity, the AdS5 X S5 sigma model reduces to the worldsheet action in a flat background. In this paper, we instead consider the limit where the vector components g(ab) are taken to infinity. In this limit, the AdS5 X S5 sigma model simplifies to a topological A-model constructed from fermionic N=2 superfields whose bosonic components transform like twistor variables. Just as d=3 Chern-Simons theory can be described by the open string sector of a topological A-model, the open string sector of this topological A-model describes d=4 N=4 super-Yang-Mills. These results might be useful for constructing a worldsheet proof of the Maldacena conjecture analogous to the Gopakumar-Vafa-Ooguri worldsheet proof of Chern-Simons/conifold duality.

Some aspects of abelian and nonabelian T-duality and the gauge/gravity correspondence

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Dark energy as a kinematic effect

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Necessidades atuais para a educação ambiental: serão possibilidades?

This study had two objectives: to build theoretically the hypothetical landmarks of the environmental crisis and to conjecture new horizons or utopias which can fulfill themselves in the future in search of another being of the man in the world. Therefore, a bibliographic research has been done and, as methodology of analysis, a dialectic critical method has been used to understand the reality in its contradictions and in the totality of the history, through some suggestions, going toward the domain of the state of things which we can verify in the world nowadays. It has been observed that the hypothetical landmarks of the environmental crisis had and have its origins in the Jewish-Christian monotheism, in the exacerbation of the reason as the only way of knowledge and in the process of capitalist accumulation. Therefore, these landmarks, in almost their totality, have historically been built even before the advent of the capitalism. From this point, three suggestions were launched as questions, or so, possibilities, to open a discussion about the construction of another paradigm: Is it necessary another sense of religion? Is it necessary another sense of reason? Is it necessary another sense of sustainable development? Thus, these questions which have been launched, were thought as the current necessities for the environmental education and they implicate in another historical condition to the mankind.

O ensino de funções na educação básica

Pós-graduação em Matemática em Rede Nacional - IBILCE

Práticas teatrais na educação: será que dá jogo?

Pós-graduação em Artes - IA

Uma abordagem geométrica para princípios de localização de integrais funcionais

Pós-graduação em Física - IFT

Aplicação da teoria da confiabilidade em estacas escavadas de grande diâmetro para obtenção das superfícies resistentes de projeto

In this work, the author looks forward to develop a new method capable of incorporate the concepts of the Reliability Theory and Ruin Probability in Deep Foundations, in order to do a better quantification of the uncertainties, which is intrinsic in all geotechnical projects, meanly because we don't know all the properties of the materials that we work with. Using the methodologies of Decourt Quaresma and David Cabral, resistance surfaces have been developed utilizing the data achieved from the Standard Penetration Tests performed in the field of study, in conjecture with the loads defined in the executive project of the piles. The construction of resistance surfaces shows to be a very useful tool for decision making, no matter in which phase it is current on, projecting or execution. The surfaces were developed by Kriging (using the software Surfer® 12), making it easier to visualize the geotechnical profile of the field of study. Comparing the results, the conclusion was that a high safety factor doesn't mean higher security. It is fundamental to consider the loads and resistance of the piles in the whole field, carefully choosing the project methodology responsible to define the diameter and length of the piles

Gramsci, o capital supranacional e o novo teorema da política

Gramsci é um autor da atualidade, teórico da mundialização do capitalismo, mas ainda desconhecido, mesmo no campo do marxismo, entre as suas tendências dominantes. Pensar a globalização, o século XXI, a nova conjuntura política nos quadros da contemporaneidade é um desafio intelectual da maior relevância que tem, em Gramsci – certamente para surpresa de uns e negação de outros –, uma de suas fontes mais estimulantes e reveladoras. É fascinante desvendar em seus escritos teses indispensáveis para refletirmos alguns dos principais temas do momento em horizontes mundiais.

Class Notes for Math 918: Homological Conjectures, Instructor Tom Marley

This course was an overview of what are known as the “Homological Conjectures,” in particular, the Zero Divisor Conjecture, the Rigidity Conjecture, the Intersection Conjectures, Bass’ Conjecture, the Superheight Conjecture, the Direct Summand Conjecture, the Monomial Conjecture, the Syzygy Conjecture, and the big and small Cohen Macaulay Conjectures. Many of these are shown to imply others. This document contains notes for a course taught by Tom Marley during the 2009 spring semester at the University of Nebraska-Lincoln. The notes loosely follow the treatment given in Chapters 8 and 9 of Cohen-Macaulay Rings, by W. Bruns and J. Herzog, although many other sources, including articles and monographs by Peskine, Szpiro, Hochster, Huneke, Grith, Evans, Lyubeznik, and Roberts (to name a few), were used. Special thanks to Laura Lynch for putting these notes into LaTeX.

Aplicação da teoria da confiabilidade em estacas escavadas de grande diâmetro para obtenção das superfícies resistentes de projeto

In this work, the author looks forward to develop a new method capable of incorporate the concepts of the Reliability Theory and Ruin Probability in Deep Foundations, in order to do a better quantification of the uncertainties, which is intrinsic in all geotechnical projects, meanly because we don't know all the properties of the materials that we work with. Using the methodologies of Decourt Quaresma and David Cabral, resistance surfaces have been developed utilizing the data achieved from the Standard Penetration Tests performed in the field of study, in conjecture with the loads defined in the executive project of the piles. The construction of resistance surfaces shows to be a very useful tool for decision making, no matter in which phase it is current on, projecting or execution. The surfaces were developed by Kriging (using the software Surfer® 12), making it easier to visualize the geotechnical profile of the field of study. Comparing the results, the conclusion was that a high safety factor doesn't mean higher security. It is fundamental to consider the loads and resistance of the piles in the whole field, carefully choosing the project methodology responsible to define the diameter and length of the piles