Higher order cohomology of arithmetic groups

Details Higher order cohomology of arithmetic groups Higher order cohomology of arithmetic groups

2008-05-06

arxiv.org/abs/0805.0703v2

Mathematics

Number Theory

LaTeX, 15 pages

Scientific paper

Higher order cohomology of arithmetic groups is expressed in terms of
(g,K)-cohomology. Generalizing results of Borel, it is shown that the latter
can be computed using functions of (uniform) moderate growth. A higher order
versions of Borel's conjecture is stated, asserting that the cohomology can be
computed using automorphic forms.

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