On exceptional rigid local systems
classification
🧮 math.AG
keywords
rigidlocalsystemsconjectureconstructexceptionalfourfoldgive
read the original abstract
We prove new instances of Simpson's rigidity conjecture which states that quasi-unipotent rigid local systems should be motivic. We construct new relative motives over the fourfold punctured Riemann sphere which give rise to $G_2$-rigid local systems which are not rigid in the group $\GL_7.$
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