Titlebook: Representations of Reductive p-adic Groups; International Confer Anne-Marie Aubert,Manish Mishra,Steven Spallone Book 2019 Springer Nature

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0743-1643 ric spaces. All meet a high level of exposition. The book should be a valuable resource to graduate students and experienced researchers alike..978-981-13-6628-4Series ISSN 0743-1643 Series E-ISSN 2296-505X

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Arithmetic of Cuspidal Representations,reducible, .-dimensional representations of the Weil group of .. These notes describe the classification of the cuspidal representations, introducing the results and techniques currently necessary for making this connection more explicit, given that it is known to exist.

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Book 2019 unicity of types, local converse theorems, completions of Hecke algebras, .p.-adic symmetric spaces. All meet a high level of exposition. The book should be a valuable resource to graduate students and experienced researchers alike..

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neutrophils

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Local Langlands and Springer Correspondences, the links of the latter with both the generalized Springer correspondence and the geometric conjecture, the so-called ABPS Conjecture, introduced in collaboration with Paul Baum, Roger Plymen and Maarten Solleveld.

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Arithmetic of Cuspidal Representations,linear groups .. A complete classification of these representations has been known for a long time. It is achieved using rather complicated objects, the simple types and simple characters. The methods it requires have been useful more widely, and the general scheme is now known to apply to many more

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Root Data with Group Actions, above, one obtains a root datum . on which . acts. Provided that . preserves a positive system in ., not necessarily invariant under ., we construct an inverse to this process. That is, given a root datum on which . acts appropriately, we show how to construct a pair (., .), on which . acts as abov

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