Reciprocity in the Langlands program since Fermat's last theorem (Q6118163)

Summary: The \textit{reciprocity conjecture} in the Langlands program links motives to automorphic forms. The proof of Fermat's Last Theorem by \textit{A. Wiles} [\textit{R. Taylor} and \textit{A. Wiles}, Ann. Math. (2) 141, No. 3, 553--572 (1995; Zbl 0823.11030); \textit{A. Wiles}, Ann. Math. (2) 141, No. 3, 443--551 (1995; Zbl 0823.11029)] introduced new tools to study reciprocity. This survey reports on developments using these ideas (and their generalizations) in the last three decades. For the entire collection see [Zbl 07816356].

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Mathematics Subject Classification ID

11F80

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Galois representations

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Langlands program

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modularity lifting

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MaRDI profile type

MaRDI publication profile

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OpenAlex ID

W3204963297

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Mathematics(1 entry)

mardi Publication:6118163