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Seminar

Non-Diophantine Sets in Rings of Functions August 03, 2022 (03:30 PM PDT - 04:15 PM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Hector Pasten (Pontificia Universidad Católica de Chile)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Non-Diophantine Sets In Rings Of Functions

Abstract/Media

Except for some special cases, very little is known about the Diophantine and non-Diophantine sets in polynomial rings and fields of rational functions. In this talk I'll show that several natural sets in these rings are not Diophantine. This is a report on joint recent (last two weeks) work with N.\ Garcia-Fritz and T.\ Pheidas.

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Non-Diophantine Sets In Rings Of Functions