Rigidity in automorphic representations and local systems

Abstract

We introduce the notion of rigidity for automorphic representations of groups over global function fields. We construct the Langlands parameters of rigid automorphic representations explicitly as local systems over open curves. We expect these local systems to be rigid. Examples of rigid automorphic representations from previous work are reviewed and more examples for $G{L}_2$ are discussed in details.

78 pages

References in corpus (1)

• A rigid irregular connection on the projective line