The classification of orthogonally rigid G2-local systems

TL;DR

This paper classifies certain rank 7 local systems with dense G2 monodromy, contributing to the understanding of their structure within algebraic geometry and representation theory.

Contribution

It provides a complete classification of orthogonally rigid G2-local systems of rank 7, a novel result in the study of algebraic local systems.

Findings

Classification of all such local systems

Identification of their monodromy groups as dense in G2

Advancement in understanding G2-representations

Abstract

We give a classification of the orthogonally rigid local systems of rank 7 whose monodromy is dense in the exceptional algebraic group G2.