Noether’s AF+BG Theorem and its Connection to Commutative Algebra

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Max Noether’s AF+BG Theorem was a big deal in the late 19th century but is less relevant these days. The Department of Mathematics and Statistics will explain why the theorem was important and give a proof that uses some basic ideas from commutative algebra. Starting in 1895, a key player was Macaulay, whose attempts to understand the hypotheses of Noether’s theorem led him to discover some properties of Gorenstein rings. The talk will end with brief comments on inverse systems, Cohen-Macaulay rings, and Emmy Noether.

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