This number of survey and examine articles brings jointly issues on the leading edge of the speculation of L-functions and Galois representations. Highlighting vital growth in parts akin to the neighborhood Langlands programme, automorphic varieties and Selmer teams, this well timed quantity treats probably the most fascinating contemporary advancements within the box. integrated are survey articles from Khare on Serre's conjecture, Yafaev at the André-Oort conjecture, Emerton on his concept of Jacquet functors, Venjakob on non-commutative Iwasawa idea and Vigneras on mod p representations of GL(2) over p-adic fields. There also are learn articles by way of: Böckle, Buzzard, Cornut and Vatsal, Diamond, Hida, Kurihara and R. Pollack, Kisin, Nekovář, and Bertolini, Darmon and Dasgupta. proposing the very most recent examine on L-functions and Galois representations, this quantity is integral for researchers in algebraic quantity concept.
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