Exponential Sums, Ree Groups and Suzuki Groups: Conjectures

Nicholas M. Katz

doi:10.1080/10586458.2017.1334246

Exponential Sums, Ree Groups and Suzuki Groups: Conjectures

Nicholas M. Katz

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Inspired by work of Gross, we exhibit rigid local systems on the affine line whose monodromy groups we conjecture to be the Suzuki and Ree groups, in characteristics 2 and 3 respectively. We give some numerical evidence for these conjectures.

Original language	English (US)
Pages (from-to)	49-56
Number of pages	8
Journal	Experimental Mathematics
Volume	28
Issue number	1
DOIs	https://doi.org/10.1080/10586458.2017.1334246
State	Published - Jan 2 2019

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

11T23
20C33
Ree group
Suzuki group
local system
monodromy

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10.1080/10586458.2017.1334246

Cite this

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title = "Exponential Sums, Ree Groups and Suzuki Groups: Conjectures",

abstract = "Inspired by work of Gross, we exhibit rigid local systems on the affine line whose monodromy groups we conjecture to be the Suzuki and Ree groups, in characteristics 2 and 3 respectively. We give some numerical evidence for these conjectures.",

keywords = "11T23, 20C33, Ree group, Suzuki group, local system, monodromy",

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T2 - Conjectures

AU - Katz, Nicholas M.

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AB - Inspired by work of Gross, we exhibit rigid local systems on the affine line whose monodromy groups we conjecture to be the Suzuki and Ree groups, in characteristics 2 and 3 respectively. We give some numerical evidence for these conjectures.

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KW - 20C33

KW - Ree group

KW - Suzuki group

KW - local system

KW - monodromy

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SP - 49

EP - 56

JO - Experimental Mathematics

JF - Experimental Mathematics

IS - 1

ER -

Exponential Sums, Ree Groups and Suzuki Groups: Conjectures

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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