Higher order cohomology of arithmetic groups

Anton Deitmar

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arXiv · 0805.0703

Higher order cohomology of arithmetic groups

Anton Deitmar

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Abstract

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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Anton Deitmar. 2008-05-16. Higher order cohomology of arithmetic groups. https://arxiv.org/abs/0805.0703

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