Speaker: Dr. Paul Pollack, University of Georgia

Title: “Unique Factorization: The Rest of the Story”

Abstract: This talk considers some underappreciated themes related to the Fundamental Theorem of Arithmetic, that each natural number factors uniquely as a product of primes. After reviewing the history, we present two nonstandard proofs, both having a geometric tint. In the second half of the talk, we turn to the question of how it might can quantify the failure of unique factorization in a given integral domain. This leads to the elegant notion of “elasticity.”  Recent progress in understanding elasticity in quadratic orders will be discussed at the end of the talk.

The KSU Mathematics Colloquium is a seminar series that brings in researchers from other universities to present results on all areas of Mathematics. The talks are targeted at general audiences of students and professors.

This seminar will be held in person and virtually.

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