Title | The Legacy of Niels Henrik Abel [electronic resource] : The Abel Bicentennial, Oslo, 2002 / edited by Olav Arnfinn Laudal, Ragni Piene |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004 |
Connect to | http://dx.doi.org/10.1007/978-3-642-18908-1 |
Descript | IX, 784 p. online resource |
The Legacy of Niels Henrik Abel -- Opening address The Abel Bicentennial Conference University of Oslo, June 3, 2002 -- The Life of Niels Henrik Abel -- The Work of Niels Henrik Abel -- The Legacy of Abel in Algebraic Geometry -- Solving Quintics by Radicals -- From Abel to Kronecker: Episodes from 19th Century Algebra -- On the History of the Artin Reciprocity Law in Abelian Extensions of Algebraic Number Fields: How Artin was Led to his Reciprocity Law -- The Italian School of Algebraic Geometry and Abelโ{128}{153}s Legacy -- From Abelโ{128}{153}s Heritage: Transcendental Objects in Algebraic Geometry and Their Algebraization -- What is Abelโ{128}{153}s Theorem Anyway? -- On Abelโ{128}{153}s Hyperelliptic Curves -- Formal Deformation of Chow Groups -- An Analogue of Abelโ{128}{153}s Theorem -- Arithmetic Questions Related to Rationally Connected Varieties -- Hyperbolicity in Complex Geometry -- Abel-Radon Transform and Applications -- Abel Transform and Integral Geometry -- Abelโ{128}{153}s Inverse Problem and Inverse Scattering -- Residues and D-modules -- Algebraic Equations and Hypergeometric Series -- Dirichlet Series and Functional Analysis -- Real Multiplication and Noncommutative Geometry -- On the Quantum Cohomology of Homogeneous Varieties -- Quantum Principal Bundles up to Homotopy Equivalence -- Non-commutative Crepant Resolutions -- Closed String Operators in Topology Leading to Lie Bialgebras and Higher String Algebra