Rigid local systems and relative motives with Galois group G_2

Abstract

We classify rigid local systems of rank 7 whose monodromy group is dense in the simple algebraic group of type G2. This leads to motives with Galois group G2.

References in corpus (1)

• On some l-adic representations of Gal(Qbar/Q) attached to noncongruence subgroups

Cited by in corpus (13)

• Hodge theory of the middle convolution
• Automorphy and irreducibility of some l-adic representations
• Boundary Components of Mumford-Tate Domains
• Deformations of Galois representations and exceptional monodromy
• Shimura Varieties and Moduli
• Rational rigidity for E_8(p)
• Rigid Fuchsian systems in 2-dimensional conformal field theories
• Classification of Rigid Irregular $G_2$-Connections
• Algebraic monodromy groups of $l$-adic representations of $\mathrm{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})$
• Euphotic representations and rigid automorphic data
• Compatible systems of Galois representations associated to the exceptional group E6
• Wildly Ramified Rigid $G_2$-Local Systems
• Irregular Hodge numbers for rigid $G_2$-connections