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Langlands program for GL(2) over function fields — Vladimir Drinfeld

1974 AD · Transmission: Global
MathematicsTheoryRussian

Vladimir Drinfeld, at just 20 years old, formulates and proves in 1974 a version of the Langlands program for the group GL(2) over function fields of positive characteristic, introducing what are today known as Drinfeld modules — geometric objects analogous to elliptic curves but adapted to this arithmetic setting. The work opens one of the most fertile lines of research in late-20th-century arithmetic geometry, with later developments leading, among other results, to Laurent Lafforgue's work (Fields Medal 2002) on the general GL(n) case. Drinfeld received the Fields Medal in 1990.

InstitutionInstitute for Low Temperature Physics, Kharkiv
Historical regionUSSR
Primary sourceDrinfeld, V. — 1974 work on elliptic modules and the Langlands program for GL(2) over function fields
Secondary sourceMacTutor History of Mathematics Archive / International Mathematical Union — Fields Medal citation 1990
Original languageRussian
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