Isospectral manifolds via orders in quaternion algebras

Abstract: I will report on joint work with Aurel Page on a number/representation theoretic approach to the question "Can you hear the shape of a drum". We use quaternion algebras over number fields to construct pairs of manifolds that "sound the same", but differ from each other in subtle ways. I will not assume that you already care about this question.

number theory

Audience: researchers in the topic

London number theory seminar

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