Generalizations of the Sato-Tate conjecture

Generalizations of the Sato-Tate conjecture

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David Geraghty, Harvard University
Fine Hall 214

I will discuss a recent joint work with Thomas Barnet-Lamb and Toby Gee in which we prove the Sato-Tate conjecture for non-CM regular algebraic cuspidal automorphic representations of GL_2 over a totally real field.