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 ...
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, ...
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 ...