On a question of Greenberg
Let f be a classical p-ordinary cuspidal eigenform of weight at least two. Ralph Greenberg asked for a characterization of those with complex multiplication.
Generalised Heegner cycles and p-adic Rankin L-series
Based on the paper with the same name by Bertolini, Darmon, Prasanna.
Baby Seminar – Introducció a les congruències entre formes modulars
En primer lloc introduirem el concepte de forma modular i parlarem de la seva estructura com a espai vectorial. Introduirem el concepte d’operador de Hecke i comentarem les diferents maneres de definir-los.
Companion forms and weight one forms
Following the article by Buzzard–Taylor.
p-adic L-functions for CM Fields (I)
Introductory talk of the working group on Katz’s paper “p-adic L-functions for CM fields”.
Baby Seminar Talk
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.