The Legacy of Niels Henrik Abel The Abel Bicentennial, Oslo, 2002
Abel's influence on modern mathematics is substantial. This is seen in many ways, but maybe clearest in the number of mathematical terms containing the adjective Abelian. In algebra, algebraic and complex geometry, analysis, the theory of differential and integral equations, and function theory...
| Other Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2004, 2004
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| Edition: | 1st ed. 2004 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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 Abel’s Legacy
- From Abel’s Heritage: Transcendental Objects in Algebraic Geometry and Their Algebraization
- What is Abel’s Theorem Anyway?
- On Abel’s Hyperelliptic Curves
- Formal Deformation of Chow Groups
- An Analogue of Abel’s Theorem
- Arithmetic Questions Related to Rationally Connected Varieties
- Hyperbolicity in Complex Geometry
- Abel-Radon Transform and Applications
- Abel Transform and Integral Geometry
- Abel’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