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Shimura Varieties

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Title: Shimura Varieties
Description: This is the second volume of a series of mainly expository articles on the arithmetic theory of automorphic forms. It forms a sequel to On the Stabilization of the Trace Formula published in 2011. The books are intended primarily for two groups of readers: those interested in the structure of automorphic forms on reductive groups over number fields, and specifically in qualitative information on multiplicities of automorphic representations; and those interested in the classification of I-adic representations of Galois groups of number fields. Langlands'conjectures elaborate on the notion that these two problems overlap considerably. These volumes present convincing evidence supporting this, clearly and succinctly enough that readers can pass with minimal effort between the two points of view. Over a decade's worth of progress toward the stabilization of the Arthur-Selberg trace formula, culminating in Ngo Bau Chau's proof of the Fundamental Lemma, makes this series timely.
Authors: Thomas Haines, Michael Harris
Resource Type: eBook.
Subjects: Shimura varieties, Automorphic forms
Categories: MATHEMATICS / Number Theory
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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DbLabel: eBook Collection (EBSCOhost)
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PubType: eBook
PubTypeId: ebook
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  Data: Shimura Varieties
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  Label: Description
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  Data: This is the second volume of a series of mainly expository articles on the arithmetic theory of automorphic forms. It forms a sequel to On the Stabilization of the Trace Formula published in 2011. The books are intended primarily for two groups of readers: those interested in the structure of automorphic forms on reductive groups over number fields, and specifically in qualitative information on multiplicities of automorphic representations; and those interested in the classification of I-adic representations of Galois groups of number fields. Langlands'conjectures elaborate on the notion that these two problems overlap considerably. These volumes present convincing evidence supporting this, clearly and succinctly enough that readers can pass with minimal effort between the two points of view. Over a decade's worth of progress toward the stabilization of the Arthur-Selberg trace formula, culminating in Ngo Bau Chau's proof of the Fundamental Lemma, makes this series timely.
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  Data: <searchLink fieldCode="AR" term="%22Thomas+Haines%22">Thomas Haines</searchLink><br /><searchLink fieldCode="AR" term="%22Michael+Harris%22">Michael Harris</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Shimura+varieties%22">Shimura varieties</searchLink><br /><searchLink fieldCode="DE" term="%22Automorphic+forms%22">Automorphic forms</searchLink>
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    Classifications:
      – Code: 516.35
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Shimura varieties
        Type: general
      – SubjectFull: Automorphic forms
        Type: general
    Titles:
      – TitleFull: Shimura Varieties
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Thomas Haines
      – PersonEntity:
          Name:
            NameFull: Michael Harris
      – PersonEntity:
          Name:
            NameFull: Thomas Haines
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          Name:
            NameFull: Michael Harris
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2020
            – D: 14
              M: 07
              Type: profile
              Y: 2020
          Identifiers:
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              Value: 9781108704861
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              Value: 9781108620383
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            – Type: volume
              Value: 00457
          Titles:
            – TitleFull: Shimura Varieties
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