DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS
نویسندگان
چکیده
منابع مشابه
Weighted cohomology of arithmetic groups
Let G be a semisimple algebraic group defined over the rational numbers, K a maximal compact subgroup of G = G(R), and Γ ⊂ G(Q) a neat arithmetic subgroup. LetX = Γ\G/K be the locally symmetric space associated to Γ, and E the local system on X constructed out of a finite-dimensional, irreducible, algebraic representation E of G. Fix a maximally Q-split torus S in G; S is assumed to be nontrivi...
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These lectures will be mainly concerned with the real or complex cohomology of an arithmetic subgroup Γ of a semisimple Q-group G. It can be identified to the cohomology of the quotient Γ \ X by Γ of the space X of maximal compact subgroups of G, which has allowed one to study the cohomology of Γ by a variety of methods: geometric constructions, de Rham and Lie algebra cohomology, harmonic and ...
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ژورنال
عنوان ژورنال: Forum of Mathematics, Pi
سال: 2019
ISSN: 2050-5086
DOI: 10.1017/fmp.2019.6