Artin conjecture for odd two dimensional Galois representations
Following Buzzard-Taylor “Companion forms and weight one forms” and/or Pilloni-Stroh “Surconvergence, ramification et modularité”.
q-expansions and Serre-Tate coordinates
Following the article of Ernest Hunter Brooks.
Advanced Course: p-adic Cohomologies and Reciprocity Laws
In the first part of this course, we give an overview of the computation of the p-adic cohomology of varieties over local fields using the theory of (phi,Gamma)-modules, following Colmez and Niziol. In the second part, we discuss applications of this theory to the problem of explicit reciprocity laws.
p-adic L-functions for CM fields (Talk 1)
Hilbert Modular Forms
Advanced Course: p-adic Cohomologies and Reciprocity Laws
Some new Hecke modules for arithmetic groups coming from C*-algebras
Given an arithmetic group G, there are two classical Hecke modules associated to G that are of central importance to number theory. Namely, the space of cusp forms associated to G (with fixed weight) and the cohomology of the arithmetic manifold M associated to G (with coefficients in a fixed local system). The Eichler-Shimura isomorphism…
Baby seminar: Corbes el·líptiques: grup de Selmer i grup de Shafarevich
L’objectiu de la sessió serà introduir eines útils pel càlcul de punts racionals d’una corba el·líptica.
p-adic L-functions for CM fields (Talk 2)
Complex Hilbert Modular Forms.
Baby seminar
Calendari 6 de febrer: Oriol Fernández 20 de febrer: Marc Felipe 20 de març: Sergi Burniol (a IMUB – UB) 3 d’abril: Víctor Hernández (+ Santi Molina) 17 d’abril: Carles Checa (+ Óscar Rivero) 15 de maig: Raúl Alonso (+ Francesc Fité) 29 de maig: Daniel Gil 12 de juny: Pol Torrent