Home /  DDC - Online Seminar: Diophantine stability and unsolvability

Seminar

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

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

Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Diophantine Stability And Unsolvability

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.

No Notes/Supplements Uploaded

Diophantine Stability And Unsolvability

H.264 Video 25131_28629_8521_Diophantine_Stability_and_Unsolvability.mp4