Titlebook: Cohomology of Arithmetic Groups; On the Occasion of J James W. Cogdell,Günter Harder,Freydoon Shahidi Conference proceedings 2018 Springer

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Conference proceedings 2018 probes the relation between cohomology of arithmetic groups and automorphic forms and their L-functions, and spans the range from classical Bianchi groups to the theory of Shimura varieties. It is a valuable reference for both experts in the fields and for graduate students and postdocs wanting to discover where the current frontiers lie..

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Statement of the Main Problem. Basic Resulthese globally analytic representations. In the last section we show that this functor exhibits, for principal series, Langlands’ base change (at least for the restrictions of these representations to the pro-p Iwahori subgroups.)

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