Sato-Tate Distributions

@article{Sutherland2016SatoTateD,
  title={Sato-Tate Distributions},
  author={Andrew V. Sutherland},
  journal={arXiv: Number Theory},
  year={2016}
}
  • Andrew V. Sutherland
  • Published 2016
  • Mathematics
  • arXiv: Number Theory
  • In this expository article we explore the relationship between Galois representations, motivic L-functions, Mumford-Tate groups, and Sato-Tate groups, and we give an explicit formulation of the Sato-Tate conjecture for abelian varieties as an equidistribution statement relative to the Sato-Tate group. We then discuss the classification of Sato-Tate groups of abelian varieties of dimension g <= 3 and compute some of the corresponding trace distributions. This article is based on a series of… CONTINUE READING

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