Experimenting with Symplectic Hypergeometric Monodromy Groups

A. S. Detinko; D. L. Flannery; A. Hulpke

doi:10.1080/10586458.2020.1780516

Experimenting with Symplectic Hypergeometric Monodromy Groups

A. S. Detinko
, D. L. Flannery
, A. Hulpke

Mathematics

University of Hull
Colorado State University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

6 Citations (Scopus)

Abstract

We present new computational results for symplectic monodromy groups of hypergeometric differential equations. In particular, we compute the arithmetic closure of each group, sometimes justifying arithmeticity. The results are obtained by extending our earlier algorithms for Zariski dense groups, based on the strong approximation and congruence subgroup properties.

Original language	English
Pages (from-to)	88-96
Number of pages	9
Journal	Experimental Mathematics
Volume	32
Issue number	1
DOIs	https://doi.org/10.1080/10586458.2020.1780516
Publication status	Published - 2023

Keywords

Symplectic group
Zariski density
algorithm
strong approximation

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10.1080/10586458.2020.1780516

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title = "Experimenting with Symplectic Hypergeometric Monodromy Groups",

abstract = "We present new computational results for symplectic monodromy groups of hypergeometric differential equations. In particular, we compute the arithmetic closure of each group, sometimes justifying arithmeticity. The results are obtained by extending our earlier algorithms for Zariski dense groups, based on the strong approximation and congruence subgroup properties.",

keywords = "Symplectic group, Zariski density, algorithm, strong approximation",

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year = "2023",

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T1 - Experimenting with Symplectic Hypergeometric Monodromy Groups

AU - Detinko, A. S.

AU - Flannery, D. L.

AU - Hulpke, A.

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N2 - We present new computational results for symplectic monodromy groups of hypergeometric differential equations. In particular, we compute the arithmetic closure of each group, sometimes justifying arithmeticity. The results are obtained by extending our earlier algorithms for Zariski dense groups, based on the strong approximation and congruence subgroup properties.

AB - We present new computational results for symplectic monodromy groups of hypergeometric differential equations. In particular, we compute the arithmetic closure of each group, sometimes justifying arithmeticity. The results are obtained by extending our earlier algorithms for Zariski dense groups, based on the strong approximation and congruence subgroup properties.

KW - Symplectic group

KW - Zariski density

KW - algorithm

KW - strong approximation

UR - https://www.scopus.com/pages/publications/85087477605

U2 - 10.1080/10586458.2020.1780516

DO - 10.1080/10586458.2020.1780516

M3 - Article

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VL - 32

SP - 88

EP - 96

JO - Experimental Mathematics

JF - Experimental Mathematics

IS - 1

ER -

Experimenting with Symplectic Hypergeometric Monodromy Groups

Abstract

Keywords

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