CEU Electronic Theses and Dissertations, 2015
| Author | Erdélyi, Márton Kristóf |
|---|---|
| Title | Computations and comparison of generalized Montreal functors |
| Summary | In this dissertation we examine the functors D_{SV} of Schneider and Vigneras and D_\xi^\vee of Breuil, generalizing the famous Montréal functor D of Colmez. Firstly we compute D_{SV} for principal series representations of the group GL_n(F) for any finite extension F|Q_p. After that we relate D_{SV} and D_\xi^\vee: for smooth o-torsion representations the latter turns out to be isomorphic to the pseudocompatct completion of a basechange of the former. In the last chapter we examine the case when the Whittaker functional which is fixed for the constructions D_{SV} and D_\xi^\vee is chosen to be nongeneric. |
| Supervisor | Zábrádi, Gergely |
| Department | Mathematics PhD |
| Full text | https://www.etd.ceu.edu/2015/erdelyi_marton.pdf |
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