event
Thursday 13 Mar 2014: Applications of hybrid p-adic group rings and hybrid Iwasawa algebras to arithmetic conjectures
Henri Johnston - Exeter
Harrison 103 15:00-16:00
We introduce the closely related notions of hybrid p-adic
group ring and hybrid Iwasawa algebra. When certain group-theoretic
criteria are met, hybrid p-adic group rings allow one to reduce the
proof of the equivariant Tamagawa number conjecture for a particular
Galois extension of number fields to the proofs of two easier
conjectures; this leads to unconditional proofs in certain cases. A
similar story holds for hybrid Iwasawa algebras and the equivariant
Iwasawa main conjecture for totally real fields, though there are some
important differences. This is joint work with Andreas Nickel
(Bielefeld).
