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Filtrations and Buildings
 
Christophe Cornut Centre National de la Recherche Scientifique, Paris, France
Filtrations and Buildings
Softcover ISBN:  978-1-4704-4221-7
Product Code:  MEMO/266/1296
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-6255-0
Product Code:  MEMO/266/1296.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-4221-7
eBook: ISBN:  978-1-4704-6255-0
Product Code:  MEMO/266/1296.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Filtrations and Buildings
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Filtrations and Buildings
Christophe Cornut Centre National de la Recherche Scientifique, Paris, France
Softcover ISBN:  978-1-4704-4221-7
Product Code:  MEMO/266/1296
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-6255-0
Product Code:  MEMO/266/1296.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-4221-7
eBook ISBN:  978-1-4704-6255-0
Product Code:  MEMO/266/1296.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2662020; 150 pp
    MSC: Primary 14; 18; 20; 51

    The author constructs and studies a scheme theoretical version of the Tits vectorial building, relates it to filtrations on fiber functors, and uses them to clarify various constructions pertaining to affine Bruhat-Tits buildings, for which he also provides a Tannakian description.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. The group theoretical formalism
    • 3. The Tannakian formalism
    • 4. The vectorial Tits building $\mathbf {F}^{\Gamma }(G)$
    • 5. Affine $\mathbf {F}(G)$-buildings
    • 6. Bruhat-Tits buildings
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2662020; 150 pp
MSC: Primary 14; 18; 20; 51

The author constructs and studies a scheme theoretical version of the Tits vectorial building, relates it to filtrations on fiber functors, and uses them to clarify various constructions pertaining to affine Bruhat-Tits buildings, for which he also provides a Tannakian description.

  • Chapters
  • 1. Introduction
  • 2. The group theoretical formalism
  • 3. The Tannakian formalism
  • 4. The vectorial Tits building $\mathbf {F}^{\Gamma }(G)$
  • 5. Affine $\mathbf {F}(G)$-buildings
  • 6. Bruhat-Tits buildings
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.