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Algebraic Groups: Structure and Actions
 
Edited by: Mahir Bilen Can Tulane University, New Orleans, LA
Algebraic Groups: Structure and Actions
Hardcover ISBN:  978-1-4704-2601-9
Product Code:  PSPUM/94
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-1-4704-3751-0
Product Code:  PSPUM/94.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-1-4704-2601-9
eBook: ISBN:  978-1-4704-3751-0
Product Code:  PSPUM/94.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
Algebraic Groups: Structure and Actions
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Algebraic Groups: Structure and Actions
Edited by: Mahir Bilen Can Tulane University, New Orleans, LA
Hardcover ISBN:  978-1-4704-2601-9
Product Code:  PSPUM/94
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-1-4704-3751-0
Product Code:  PSPUM/94.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-1-4704-2601-9
eBook ISBN:  978-1-4704-3751-0
Product Code:  PSPUM/94.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 942017; 294 pp
    MSC: Primary 12; 14

    This volume contains the proceedings of the 2015 Clifford Lectures on Algebraic Groups: Structures and Actions, held from March 2–5, 2015, at Tulane University, New Orleans, Louisiana.

    This volume consists of six articles on algebraic groups, including an enhanced exposition of the classical results of Chevalley and Rosenlicht on the structure of algebraic groups; an enhanced survey of the recently developed theory of pseudo-reductive groups; and an exposition of the recently developed operational \(K\)-theory for singular varieties. In addition, there are three research articles containing previously unpublished foundational results on birational automorphism groups of algebraic varieties; solution of Hermite-Joubert problem over \(p\)-closed fields; and cohomological invariants and applications to classifying spaces.

    The old and new results presented in these articles will hopefully become cornerstones for the future development of the theory of algebraic groups and applications. Graduate students and researchers working in the fields of algebraic geometry, number theory, and representation theory will benefit from this unique and broad compilation of fundamental results on algebraic group theory.

    Readership

    Graduate students and researchers working in algebraic group theory as well as algebraic geometry and number theory.

  • Table of Contents
     
     
    • Articles
    • Dave Anderson — Computing torus-equivariant $K$-theory of singular varieties
    • Jérémy Blanc — Algebraic structures of groups of birational transformations
    • Matthew Brassil and Zinovy Reichstein — The Hermite-Joubert problem over $p$-closed fields
    • Michel Brion — Some structure theorems for algebraic groups
    • Brian Conrad and Gopal Prasad — Structure and classification of pseudo-reductive groups
    • Alexander Merkurjev — Invariants of algebraic groups and retract rationality of classifying spaces
  • 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: 942017; 294 pp
MSC: Primary 12; 14

This volume contains the proceedings of the 2015 Clifford Lectures on Algebraic Groups: Structures and Actions, held from March 2–5, 2015, at Tulane University, New Orleans, Louisiana.

This volume consists of six articles on algebraic groups, including an enhanced exposition of the classical results of Chevalley and Rosenlicht on the structure of algebraic groups; an enhanced survey of the recently developed theory of pseudo-reductive groups; and an exposition of the recently developed operational \(K\)-theory for singular varieties. In addition, there are three research articles containing previously unpublished foundational results on birational automorphism groups of algebraic varieties; solution of Hermite-Joubert problem over \(p\)-closed fields; and cohomological invariants and applications to classifying spaces.

The old and new results presented in these articles will hopefully become cornerstones for the future development of the theory of algebraic groups and applications. Graduate students and researchers working in the fields of algebraic geometry, number theory, and representation theory will benefit from this unique and broad compilation of fundamental results on algebraic group theory.

Readership

Graduate students and researchers working in algebraic group theory as well as algebraic geometry and number theory.

  • Articles
  • Dave Anderson — Computing torus-equivariant $K$-theory of singular varieties
  • Jérémy Blanc — Algebraic structures of groups of birational transformations
  • Matthew Brassil and Zinovy Reichstein — The Hermite-Joubert problem over $p$-closed fields
  • Michel Brion — Some structure theorems for algebraic groups
  • Brian Conrad and Gopal Prasad — Structure and classification of pseudo-reductive groups
  • Alexander Merkurjev — Invariants of algebraic groups and retract rationality of classifying spaces
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
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