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Survey on the fundamental lemma. (English) Zbl 1238.11059
Jerison, David (ed.) et al., Current developments in mathematics, 2009. Somerville, MA: International Press (ISBN 978-1-57146-146-9/hbk). 1-21 (2010).
In this survey article the author presents the history of the proof of the fundamental lemma of endoscopy theory of algebraic groups, culminating with his method.
For the entire collection see [Zbl 1205.00075].
MSC:
11F70 Representation-theoretic methods; automorphic representations over local and global fields
11-02 Research exposition (monographs, survey articles) pertaining to number theory
11F72 Spectral theory; trace formulas (e.g., that of Selberg)
22-02 Research exposition (monographs, survey articles) pertaining to topological groups
22E50 Representations of Lie and linear algebraic groups over local fields
22E55 Representations of Lie and linear algebraic groups over global fields and adèle rings
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