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Full Description
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 In addition, there are three research articles containing previously unpublished foundational results on birational automorphism groups of algebraic varieties; solution of Hermite-Joubert problem over $p$-closed fields; and cohomological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.
Contents
D. Anderson, Computing torus-equivariant $K$-theory of singular varieties
J. Blanc, Algebraic structures of groups of birational transformations
M. Brassil and Z. Reichstein, The Hermite-Joubert problem over $p$-closed fields
M. Brion, Some structure theorems for algebraic groups
B. Conrad and G. Prasad, Structure and classification of pseudo-reductive groups
A. S. Merkurjev, Invariants of algebraic groups and retract rationality of classifying spaces
