Automorphic varieties and Galois representations have performed a important function within the improvement of recent quantity idea, with the previous coming to prominence through the prestigious Langlands application and Wiles' facts 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 contemporary advancements during this quarter. The expository articles and study papers around the volumes mirror fresh curiosity in p-adic equipment in quantity conception and illustration thought, in addition to fresh growth on subject matters from anabelian geometry to p-adic Hodge idea and the Langlands application. the subjects lined in quantity contain curves and vector bundles in p-adic Hodge idea, associators, Shimura types, the birational part conjecture, and different themes of up to date curiosity.
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