"Chow motives associated to certain algebraic Hecke characters"

Abstract: The Langlands philosophy predicts a correspondence between certain automorphic representations and Galois representations, while the philosophy surrounding the Fontaine-Mazur conjecture specifies when such Galois representations arise from the l-adic cohomology of a variety or, more generally, a motive. Given that one can attach L-functions to both motives and automorphic forms, one would like to understand how to associate a motive to a given automorphic form in order to yield an equality of their respective L-functions. In this talk, we explore this question in the case of powers of certain algebraic Hecke characters and certain CM motives. This is joint work with Jaclyn Lang.

Host: Matt Kerr