This thesis is concerned with the algebraic theory of hermitian forms. It is organized in two parts. The first, consisting of the first two chapters, deals with some descent properties of unimodular hermitian forms over central simple algebras with involut ...
Let k be a field of characteristic ≠2, A be a central simple algebra with involution σ over k and W(A,σ) be the associated Witt group of hermitian forms. We prove that for all purely inseparable extensions L of k, the canonical map rL/k:W(A,σ)⟶W(AL,σL) is ...
Springer Verlag2011
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We present a study of collective robotics by including a mechatronics point of view. In the field it is usually claimed that collective robots are simple and relatively cheap because they are produced in large quantities. Instead in our study we show that ...
Diffusion-limited reactions are usually described within the Smoluchowski theory, which neglects interparticle interactions. We propose a simple way to incorporate excluded-volume effects building on simulations of hard sphere in the presence of a sink. Fo ...
We consider the Regge limit of a CFT correlation function of two vector and two scalar operators, as appropriate to study small-x deep inelastic scattering in N = 4 SYM or in QCD assuming approximate conformal symmetry. After clarifying the nature of the R ...
This work concerns the study of Euclidean minima of maximal orders in central simple algebras. In the first part, we define the concept of ideal lattice in the non-commutative case. Let A be a semi-simple algebra over Q. An ideal lattice over A is a triple ...
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This master project on algebraic coding theory gathers various techniques from lattice theory, central simple algebras and algebraic number theory. The thesis begins with the formulation of the engineering problem into mathematical form. It presents how sp ...
In the context of coupling methods that match molecular dynamics with finite elements, we focus on the finite temperature and heat rates treatment done by Bridging Domain approaches. The energy dissipation occurring due to the projection of the fine scale ...