Now showing items 1-3 of 3

    • An introduction to the Langlands Conjectures 

      Felipe i Alsina, Marc (Universitat Politècnica de Catalunya, 2019-10)
      Master thesis
      Restricted access - author's decision
      In this thesis, we take a look into a generalization of Local Class Field Theory (LCFT), called the Local Langlands Conjecture, which concerns about identifying special representations of the Weil group, a subgroup of the ...
    • Congruences between modular forms 

      Fernández Peña, Oriol (Universitat Politècnica de Catalunya, 2018-07)
      Master thesis
      Open Access
      This master s thesis is intended to give a presentation of the theory of congruences between the Fourier coecients of modular forms. In order to do that we introduce the reader to the basic theory of modular forms from the ...
    • Modular symbols 

      Gispert Sánchez, Francesc-Xavier (Universitat Politècnica de Catalunya, 2016-05)
      Bachelor thesis
      Open Access
      Modular forms are holomorphic functions defined on the complex upper half-plane which transform in a certain way under the action of a group of matrices. Alternatively, they can be thought of as differential forms on a ...