By Minhyong Kim,Fred Diamond,Payman L. Kassaei

Automorphic kinds and Galois representations have performed a primary function within the improvement of contemporary quantity conception, with the previous coming to prominence through the distinguished Langlands application and Wiles' evidence of Fermat's final Theorem. This two-volume assortment arose from the 94th LMS-EPSRC Durham Symposium on 'Automorphic kinds and Galois Representations' in July 2011, the purpose of which was once to discover fresh advancements during this sector. The expository articles and study papers around the volumes replicate fresh curiosity in p-adic tools in quantity concept and illustration conception, in addition to fresh development on issues from anabelian geometry to p-adic Hodge idea and the Langlands application. the subjects lined in quantity comprise curves and vector bundles in p-adic Hodge conception, associators, Shimura forms, the birational part conjecture, and different issues of latest interest.

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