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Hypergeometric Groups: arithmetic or thin?

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Speaker: 
Sandip Singh
Affiliation: 
IIT Bombay/MPIM
Date: 
Wed, 2018-06-20 16:30 - 17:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

The hypergeometric groups are the subgroups of $GL_n(C)$ generated by the companion matrices of two monic coprime polynomials of degree $n$ and when the hypergeometric groups are infinite their Zariski closures (inside $GL_n(C)$) are either the symplectic or the orthogonal groups. In this talk we present the progress on the question to determine the arithmetic or thin hypergeometric groups.

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