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Hardcover ISBN:  9781470426019 
Product Code:  PSPUM/94 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9781470437510 
Product Code:  PSPUM/94.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Hardcover ISBN:  9781470426019 
eBook ISBN:  9781470437510 
Product Code:  PSPUM/94.B 
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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 94; 2017; 294 ppMSC: 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 pseudoreductive 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 In addition, there are three research articles containing previously unpublished foundational results on birational automorphism groups of algebraic varieties; solution of HermiteJoubert problem over \(p\)closed fields; and cohomological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.
ReadershipGraduate students and researchers working in algebraic group theory as well as algebraic geometry and number theory.

Table of Contents

Articles

Dave Anderson — Computing torusequivariant $K$theory of singular varieties

Jérémy Blanc — Algebraic structures of groups of birational transformations

Matthew Brassil and Zinovy Reichstein — The HermiteJoubert problem over $p$closed fields

Michel Brion — Some structure theorems for algebraic groups

Brian Conrad and Gopal Prasad — Structure and classification of pseudoreductive groups

Alexander Merkurjev — Invariants of algebraic groups and retract rationality of classifying spaces


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

Articles

Dave Anderson — Computing torusequivariant $K$theory of singular varieties

Jérémy Blanc — Algebraic structures of groups of birational transformations

Matthew Brassil and Zinovy Reichstein — The HermiteJoubert problem over $p$closed fields

Michel Brion — Some structure theorems for algebraic groups

Brian Conrad and Gopal Prasad — Structure and classification of pseudoreductive groups

Alexander Merkurjev — Invariants of algebraic groups and retract rationality of classifying spaces