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Seminar

DDC - Online Seminar: Diophantine stability and unsolvability September 25, 2020 (09:00 AM PDT - 10:00 AM PDT)
Parent Program:
Location: MSRI: Online/Virtual
Speaker(s) Barry Mazur (Harvard University)
Description

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

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Abstract/Media

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

Following Karl Rubin’s lecture last week we will consider the “relative Diophantine notion”: a field extension L/K is Diophantine Stable for a variety V defined over K if V acquires no new rational points passing from K to L. I will discuss results, heuristics, conjectures related to Diophantine Stability, and especially: applications to Hilbert’s Tenth Problem. This consists of both joint work with Karl Rubin; and also a DDC workshop project with Karl Rubin and Sasha Shlapentokh.

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