Representations of Higher Adelic Groups and Arithmetic
Number Theory
2015-03-17 v2 Algebraic Geometry
Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1012.0486,
title = {Representations of Higher Adelic Groups and Arithmetic},
author = {A. N. Parshin},
journal= {arXiv preprint arXiv:1012.0486},
year = {2015}
}
Comments
30 pages, to appear in Proceedings of the International Congress of Mathematicians, Hyderabad, India, 2010, vol. 1, corrected typos, added a reference