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Paul Pollack, University of Georgia

How nonunique is your factorization?

Number theorists learn early on not to take unique factorization for granted. In 1980, R.J. Valenza introduced the "elasticity” of an integral domain as a means of measuring how far away the domain is from possessing unique factorization. I will survey what is known about elasticity of rings of number theoretic interest. Particular attention will be paid to recent work of the speaker on elasticity of orders in quadratic fields. Much of this is joint with Steve Fan (UGA) and Enrique Trevino (Lake Forest).

MC 5417