Date: Friday, January 18, 2013
Location: 3088 East Hall (3:00 PM to 5:00 PM)
Title: Multiplicity one for automorphic representations of GL_n
Abstract: Automorphic representations were introduced by Langlands as one of the basic objects of his Program to give a representation-theoretic basis for understanding number theory. Automorphic forms are a vast generalization of modular forms defined with reference to the ring of adeles of a number or function field, which we will introduce and describe briefly. Our goal is a structural result for the space of automorphic forms for GL_n to the effect that it is multiplicity-free; along the way we will introduce Whittaker functions as a model for automorphic representations and reduce the theorem to a similar multiplicity result for them, using the Fourier transform.
Speaker: Ryan Reich
Institution: UM
Event Organizer: mityab@umich.edu
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