The Iwasawa Main Conjectures for Gl2
نویسنده
چکیده
1.1. The Iwasawa-Greenberg Main Conjecture. Let p be an odd prime. Let Q ⊂ C be the algebraic closure of Q in C. We fix an embedding Q ↪→ Qp. For simplicity we also fix an isomorphism Qp ∼= C compatible with the inclusion of Q into both. We let Q∞ be the cyclotomic Zp-extension of Q and ΓQ := Gal(Q∞/Q) its Galois group. The reciprocity map of class field theory identifies 1 + pZp with ΓQ; we let γ ∈ ΓQ be the topological generator identified with 1 + p.
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