Representations of Higher Adelic Groups and Arithmetic

Details Representations of Higher Adelic Groups and Arithmetic Representations of Higher Adelic Groups and Arithmetic

2010-12-02

arxiv.org/abs/1012.0486v2

Mathematics

Number Theory

30 pages, to appear in Proceedings of the International Congress of Mathematicians, Hyderabad, India, 2010, vol. 1, corrected

Scientific paper

We discuss the following topics: n-dimensional local fields and adelic
groups; harmonic analysis on local fields and adelic groups for two-dimensional
schemes (function spaces, Fourier transform, Poisson formula); representations
of discrete Heisenberg groups; adelic Heisenberg groups and their
representations arising from two-dimensional schemes.

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