Amorós Carafí, Laia (Date of defense: 2016-12-16)
The Langlands program is a vast and unifying network of conjectures that connect the world of automorphic representations of reductive algebraic groups and the world of Galois representations. These ...
Heiderich, Florian (Date of defense: 2010-09-13)
This thesis is about Galois theory.<br/><br/>The development of a Galois theory for differential equations analogous to the classical Galois theory for polynomial equations was already an aim of S. Lie ...
Raventós Morera, Oriol (Date of defense: 2011-03-18)
This thesis contains new results about the representability of cohomological functors defined on a subcategory of compact objects (with respect to a fixed cardinal) of a well generated triangulated ...
Pons Llopis, Joan (Date of defense: 2011-06-21)
The subject of this thesis lies at the junction of mainly three topics: construction of large families of Arithmetically Cohen-Macaulay indecomposable vector bundles on a given projective variety X, ...
Bellmunt Giralt, Andratx (Date of defense: 2015-12-17)
The objects studied in this thesis are Hamiltonian spaces and it is assumed that the reader is familiar with them as explained in e.g. [Can, VII-IX] or [McSa1, §5]. The usual contents of first year ...
Barroso de Freitas, Nuno Ricardo (Date of defense: 2012-10-22)
The main purpose of this thesis is to apply the modular approach to Diophantine equations to study some Fermat-type equations of signature (r; r; p) with r >/= 5 a fixed prime and “p” varying. In ...
Nualart Riera, Joan (Date of defense: 2016-02-03)
The main goal of this thesis is to contribute to the explicit hyperbolic uniformization of Shimura curves. We will restrict to the case of curves attached to Eichler orders in rational quaternion algebras ...
Sáez Cornellana, Meritxell (Date of defense: 2014-07-16)
This thesis studies curves in the symmetric square of a curve, C(2). We characterize them, study their immersion in C(2) and deduce properties of the curve C from the existence of curves in C(2) of ...
Cirici, Joana (Date of defense: 2012-06-23)
In the present work, we analyse the categories of mixed Hodge complexes and mixed Hodge diagrams of differential graded algebras in these two directions: we prove the existence of both a Cartan-Eilenberg ...
Cantero Morán, Federico (Date of defense: 2013-07-03)
In this thesis we study the space of compact connected oriented genus g subsurfaces of a fixed manifold M, and in particular its homological properties. We construct a “scanning map” which compares ...
Arithmetical algebraic geometry (2)