A plectic Taniyama group
Number Theory
2016-06-13 v1
Abstract
We revisit Langlands' construction of the Taniyama group to define a plectic Taniyama group for any totally real field F. The construction is functorial in F and recovers Langlands' original Taniyama group when F = Q. We relate our construction to Nekovar's 'hidden symmetries' in classical CM theory, generalising the relationship between the Taniyama group and Tate's half-transfer maps.
Cite
@article{arxiv.1606.03320,
title = {A plectic Taniyama group},
author = {Chris Blake},
journal= {arXiv preprint arXiv:1606.03320},
year = {2016}
}
Comments
20 pages, comments welcome