Taniyama group
From HandWiki
In mathematics, the Taniyama group is a group that is an extension of the absolute Galois group of the rationals by the Serre group. It was introduced by Langlands (1977)[1] using an observation by Deligne, and named after Yutaka Taniyama. It was intended to be the group scheme whose representations correspond to the (hypothetical) CM motives over the field Q of rational numbers.
References
- ↑ Langlands, R. P. (1977), "Automorphic representations, Shimura varieties, and motives. Ein Märchen", Automorphic forms, representations and L-functions, Proc. Sympos. Pure Math., 33, pp. 205–246, ISBN 0-8218-1437-0
Further reading
- "Langlands’s Construction of the Taniyama Group", Hodge cycles, motives, and Shimura varieties., Lecture Notes in Mathematics, 900, Berlin-New York: Springer-Verlag, 1982, doi:10.1007/978-3-540-38955-2_14, ISBN 3-540-11174-3, http://www.jmilne.org/math/articles/1982c.pdf
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