Motivic cohomology actions and the geometry of eigenvarieties
نویسندگان
چکیده
A basic fact of life Let G be a connected reductive group over Q. Set G∞ = G(R), and let K∞ ⊂ G∞ be a maximal compactmod-center subgroup, so D∞ = G∞/K∞ is the usual symmetric space for G. Following the notation in Borel and Wallach’s book, we set l0 = rank(G∞) − rank(K∞) and q0 = 1 2 (dimD∞ − l0). These are both nonnegative integers. For any open compact subgroup K ⊂ G(Af ) we have the usual locally symmetric quotient YK = G(Q)\ (D∞ × G(Af )) /K = ∐
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Cohomology operations and algebraic geometry
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