Some questions on spectrum and arithmetic of locally symmetric spaces
classification
🧮 math.NT
math.RTmath.SP
keywords
arithmeticlocallyquestionsspacesspectrumsymmetricarithmeticalautomorphic
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We consider the question that the spectrum and arithmetic of locally symmetric spaces defined by congruent arithmetical lattices should mutually determine each other. We frame these questions in the context of automorphic representations.
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