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Historical Notes on Emmy Noether's 1932 ICM Lecture on Noncommutative Methods in Number Theory
The theme of Emmy Noether's address at the International Congress of Mathematicians held in Zurich in 1932 was the application of noncommutative methods involving the theory of central simple algebras to commutative algebra, and especially to algebraic number theory. A historical sketch of related work before and after, and the following two main points in her lecture will be discussed in the talk. The first was what she called the norm principle, which showed the connection between Hasse's Norm Theorem, proved in class field theory, and the Brauer-Hasse-Noether theorem expressing the local-global principle for central simple algebras over algebraic number fields. The second was her version of the Principal Genus Theorem, which was a far reaching generalization of a result of Gauss about classes of quadratic forms. Background will be provided for these results based on correspondence which has recently become available, along with remarks about their significance for later developments.
Friday, May 7, 2004, 245 Altgeld Hall, 11:30 a.m. - 12:30 p.m.
Mathematics Colloquia homepage