Clay Summer School on Galois representations

Program of my lectures. All the notes available here are in preliminary form.

  • Introduction the conjecture of Bloch-Kato
  • Ribet's lemma, generalizations, and pseudocharacters
  • Automorphic forms for unitary groups and their Galois representations
  • Introduction to eigenvarieties.
  • Refinement and triangulline representations
  • Refined families of Galois representations. Applications