Experimenting with Symplectic Hypergeometric Monodromy Groups

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Date
2019-05-22MFO Scientific Program
Research in Pairs 2018Series
Oberwolfach Preprints;2019-15Author
Detinko, Alla
Flannery, Dane
Hulpke, Alexander
Metadata
Show full item recordOWP-2019-15
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 previous algorithms for Zariski dense groups, based on the strong approximation and congruence subgroup properties.