Some questions on spectrum and arithmetic of locally symmetric spaces

Details Some questions on spectrum and arithmetic of locally symmetric spaces Some questions on spectrum and arithmetic of locally symmetric spaces

2010-10-26

arxiv.org/abs/1010.5411v1

Advanced Studies in Pure Mathematics 58 (2010) Algebraic and Arithmetic Structures of Moduli Spaces (Sapporo 2007) pp. 137-157

Mathematics

Number Theory

18 pages

Scientific paper

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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