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Generalized Non‐Abelian Reciprocity Laws: a Context for Wiles' Proof
Author(s) -
Ash Avner,
Gross Robert
Publication year - 2000
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609300007244
Subject(s) - mathematics , reciprocity law , fermat's last theorem , abelian group , reciprocity (cultural anthropology) , pure mathematics , algebraic number , homology (biology) , context (archaeology) , algebra over a field , elementary proof , mathematical analysis , psychology , social psychology , biochemistry , chemistry , paleontology , biology , gene
In as elementary a way as possible, we place Wiles' proof of Fermat's last theorem into the context of a general description of reciprocity conjectured to obtain between algebraic varieties defined over Q and Hecke eigenvectors in the homology of the spaces of lattices in R n . 2000 Mathematics Subject Classification 11‐02.

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