David Kohel (Université d'Aix-Marseille):

Characterizing Galois representations by character theory

Abstract: We describe a method for characterizing Galois distributions, for example, the Frobenius distributions arising as the Sato-Tate group of an abelian variety or associated to a modular form or a family of exponential sums. We develop an approach to characterize it through the character theory of compact Lie groups and their orthogonality relations. This is joint work with Gilles Lachaud and Yih-Dar Shieh.

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