On exceptional rigid local systems

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 $\GL_7.$

References in corpus (1)

• Galois realizations of classical groups and the middle convolution

Cited by in corpus (1)

• Katz's middle convolution algorithm