On the cohomology of congruence subgroups of SL_4 (\Z)
Paul E. Gunnells
TL;DR
This paper surveys computational research on the cohomology of congruence subgroups of SL_4( ext{Z}), highlighting methods and findings relevant to automorphic forms and arithmetic applications.
Contribution
It presents a comprehensive overview of computational techniques and results concerning the cohomology of SL_4( ext{Z}) congruence subgroups, advancing understanding in automorphic representation theory.
Findings
Computational methods for cohomology of SL_4( ext{Z})
Results on automorphic forms related to these cohomologies
Insights into arithmetic properties of congruence subgroups
Abstract
We survey our joint work with Avner Ash and Mark McConnell that computationally investigates the cohomology of conguence subgroups of SL_4 (\Z). This is based on a talk given at the 2009 RIMS conference "Automorphic representations, automorphic L-functions and arithmetic."
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Taxonomy
TopicsAdvanced Algebra and Geometry · Finite Group Theory Research · Algebraic Geometry and Number Theory