Frobenius structures on hypergeometric equations

KS Kedlaya - Arithmetic, geometry, cryptography, and coding …, 2021 - books.google.com
We give an exposition of Dwork's construction of Frobenius structures associated to
generalized hypergeometric equations via the interpretation of the latter due to Gelfand …

Sato-Tate groups of abelian threefolds

F Fité, KS Kedlaya, AV Sutherland - arXiv preprint arXiv:2106.13759, 2021 - arxiv.org
Given an abelian variety over a number field, its Sato-Tate group is a compact Lie group
which conjecturally controls the distribution of Euler factors of the L-function of the abelian …