The authors construct explicit non-integral Q-Hodge variations with Zariski dense monodromy, prove new S-integral point results on character varieties, and show the Hodge locus can be non-algebraic.
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Murphy's law in non-abelian Hodge theory
The authors construct explicit non-integral Q-Hodge variations with Zariski dense monodromy, prove new S-integral point results on character varieties, and show the Hodge locus can be non-algebraic.