Open Collections

On a Theorem of Arthur and Clozel

Banff International Research Station for Mathematical Innovation and Discovery

Nearly thirty years ago, Arthur and Clozel proved that every nilpotent Galois representation of a number field arises from an automorphic representation, which, in fact, follows from Artin reciprocity, their cyclic base change, and some group theory. In this talk, we will discuss what goes wrong when trying to apply the cyclic base change to attack general monomial Galois representations, and what one can do instead. In particular, we shall discuss how to derive Langlands reciprocity for any Galois representation whose image is either nearly nilpotent or ``small''.

Mathematics; Number theory; Group theory and generalizations

video/mp4

Author affiliation: University of Lethbridge

2019-03-12

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/68660

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/