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THE HODGE CONJECTURE AND ARITHMETIC QUOTIENTS OF COMPLEX BALLS
HODGE CONJECTURE ARITHMETIC QUOTIENTS COMPLEX BALLS
2015/10/14
Let S be a closed Shimura variety uniformized by the complex n-ball. The Hodge conjecture predicts that every Hodge class in H2k(S, Q), k = 0, . . . , n, is algebraic. We show that this holds for all ...
On Extending the Langlands-Shahidi Method to Arithmetic Quotients of Loop Groups
automorphic L-functions Eisenstein series loop groups
2010/12/10
We discuss certain Eisenstein series on arithmetic quotients of loop groups, ˆG , which are associated to cusp forms on finite-dimensional groups associated with maximal parabolics of ˆG .