Universitat de Barcelona
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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 graduate courses in ...
This dissertation is devoted to the study of Cartier algebras and local cohomology modules; more precisely, we show that the Cartier algebra of a complete Stanley-Reisner ring R can only be either principally generated or ...
Aquesta memòria està dedicada principalment al tractament computacional de les formes d’ona de Maass i a la consideració d’algunes aplicacions pràctiques derivades del seu estudi. Per abreujar, designarem aquestes funcions, ...
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 this space to the space ...
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 conjectures associate ...
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 specific type. In addition, ...
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 whose maximal ...
The main purpose of this dissertation is to introduce Shimura curves from the non-Archimedean point of view, paying special attention to those aspects that can make this theory amenable for computations. Despite the fact ...
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, the shape (i.e, the ...
