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- W2117169876 abstract "Historically, Langlands has introduced the theory of endoscopy in order to measure the failure of automorphic forms from being distinguished by their L-functions as well as the defect of stability in the Arthur-Selberg trace formula and `-adic cohomology of Shimura varieties. However, the number of important achievements in the domain of automorphic forms based on the idea of endoscopy has been growing impressively recently. Among these, we will report on Arthur’s classification of automorphic representations of classical groups and recent progress on the determination of `-adic galois representations attached to Shimura varieties originating from Kottwitz’s work. These results have now become unconditional; in particular, due to recent progress on local harmonic analysis. Among these developments, we will report on Waldspurger’s work on the transfer conjecture and the proof of the fundamental lemma." @default.
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- W2117169876 date "2011-06-01" @default.
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- W2117169876 title "Endoscopy Theory of Automorphic Forms" @default.
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- W2117169876 doi "https://doi.org/10.1142/9789814324359_0011" @default.
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