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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: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Hector Pasten (Pontificia Universidad Católica de Chile)
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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