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Title:
Vinberg’s theorem on hyperbolic reflection groups
Speaker:
Abstract:
In this talk we will expalin the main ideas of the proof of the following theorem of
Vinberg: Let f be an integral quadratic form of signature (n, 1). If n ≥ 30 then the subgroup
of SO(n, 1)(Z) which is generated by all hyperbolic reflections has infinite index. As a consequence
of this theorem we will show that certain hypergeometric monodromy groups are thin.
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