@inproceedings{a41aed29b9c14f7e86579b221e1cd66e,
title = "Local systems and Suzuki groups",
abstract = "We study geometric monodromy groups Ggeom,Fq of the local systems Fq on the affine line over F2 of rank D=√q/2(q−1), q=22n+1, constructed in N. Katz [Exponential sums, Ree groups and Suzuki groups: conjectures, Exp. Math. 28 (2019), 49-56.]. The main result of the paper shows that Ggeom,Fq is either the Suzuki simple group (2B2(q), or the special linear group SLD. We also show that F8 has geometric monodromy group (2B2(8), and arithmetic monodromy group Aut(2B2(8)) over F2, thus establishing Katz{\textquoteright}s Conjecture 2.2 in the above cited paper in the case q=8.",
keywords = "airy sheaves, Local systems, monodromy groups, Suzuki simple groups",
author = "Levent Alp{\"o}ge and Katz, {Nicholas M.} and Gabriel Navarro and O{\textquoteright}Brien, {E. A.} and Tiep, {Pham Huu}",
note = "Publisher Copyright: {\textcopyright} 2024 the authors.; Amitsur Centennial Symposium, 2021 ; Conference date: 01-11-2021 Through 04-11-2021",
year = "2024",
doi = "10.1090/conm/800/16050",
language = "English (US)",
isbn = "9781470475550",
series = "Contemporary Mathematics",
publisher = "American Mathematical Society",
pages = "15--79",
editor = "Avinoam Mann and Rowen, {Louis H.} and Saltman, {David J.} and Aner Shalev and Small, {Lance W.} and Uzi Vishne",
booktitle = "Amitsur Centennial Symposium, 2021",
address = "United States",
}