The **second trace moment** of a Sato-Tate group $G$ is the expected value of the square of the trace of a random element of $G$ (under its Haar measure).

When $G$ is the Sato-Tate group of an abelian variety, this is equal to the dimension of its endomorphism algebra [arXiv:1910.00518 , MR:4038255 ].

**Authors:**

**Knowl status:**

- Review status: beta
- Last edited by Andrew Sutherland on 2021-05-06 21:16:16

**Referred to by:**

**History:**(expand/hide all)

- 2021-05-06 21:16:16 by Andrew Sutherland
- 2021-03-19 21:33:30 by Andrew Sutherland
- 2021-03-19 21:20:49 by Andrew Sutherland
- 2021-03-19 21:16:56 by Andrew Sutherland

**Differences**(show/hide)