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Identidades Polinomiais ℤ2-Graduadas para as Álgebras M1,1(E) e UT2(F) via representações de grupos
(Universidade Federal de São Carlos, 2017-09-01)
In this essay we will briefly study the concept of Algebra. We will introduce a little of Group Representation Theory, looking specifically at Young's Theory, which allows us to present explicitly the decomposition of the ...
Folheações riemannianas e geodésicas fechadas em orbifolds
(Universidade Federal de São Carlos, 2016-03-04)
The present thesis is devoted to the study of closed geodesics in some types of orbifolds. First, we present the notion of Riemannian foliation and their equivalent definitions using foliation atlas and Riemannian submersions. ...
D-classes de homotopia, uma generalização da teoria de ∆-classes de homotopia
(Universidade Federal de São Carlos, 2011-03-04)
This work is based on Ph.d. thesis of R.Brooks [1]. R.Brooks develops his work in three parts, first establishes Nielsen s theory (Essential class, Nielsen s number, estimates for the Nielsen s number) for determined classes ...
Atratores de trajetórias para equações de evolução abstratas e aplicação a uma equação de reação difusão
(Universidade Federal de São Carlos, 2017-03-20)
The purpose of this work is to study the asymptotic behaviour of abstract autonomous evolution
equations. The first part is dedicated to the theory of existence of global attractors for univoque
autonomous problems and ...
Hipoelipticidade global de campos vetoriais no toro TN
(Universidade Federal de São Carlos, 2010-06-21)
In this work, we will see that if the transpose operator of a smooth real vector field L defined on the N-dimensional torus, regarded as a linear differential operator with coefficients in C1(TN), is globally hypoelliptic, ...
Grafos eulerianos e identidades polinomiais na álgebra Mn(K)
(Universidade Federal de São Carlos, 2013-08-27)
In this work we present some applications of graph theory in problems involving polynomial identities for the algebra Mn (K). A brief presentation of PI-theory and some concepts of graph theory, such as the definition of ...
Teoria de Littlewood-Paley e o problema de Cauchy para a equação da onda cúbica
(Universidade Federal de São Carlos, 2010-07-08)
In this work, we study the result of well-posedness for the cubic wave equation
u + u3 = 0 in R3, due to H. Bahouri e J.-Y. Chemin, where the Cauchy data is in
the Homogeneous Sobolev space ̇H3/4(R3) × ̇H−1/4(R3). The ...
Teoria de invariantes de formas binárias
(Universidade Federal de São Carlos, 2010-03-26)
In this work, we studied article [6], that answers the following questions:how are all covariants of binary forms? What are and how to find the canonicalforms of the binary forms of degree n? Is there a finite generating ...
Generalização da sequência curta de Fadell-Neuwirth para os grupos de tranças de superfícies
(Universidade Federal de São Carlos, 2014-02-17)
The objective of this work is to study the braid groups on topological surfaces as well as studying a generalization of the Fadell-Neuwirth short exact sequence. We treated also the existence of a cross-section for the ...
Transformada de Tjurina para singularidades determinantais
(Universidade Federal de São Carlos, 2017-07-19)
We study the Tjurina transforms of determinantal singularities and its properties.