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Seminar

DDC - Online Seminar: 60 years of DPR-theorem and 50 years of DPRM-theorem December 18, 2020 (09:00 AM PST - 10:00 AM PST)
Parent Program:
Location: SLMath: Online/Virtual
Speaker(s) Yury Matiyasevich (Steklov Mathematical Institute, St. Petersburg)
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

60 Years Of DPR-Theorem And 50 Years Of DPRM-Theorem
Abstract/Media

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

Abstract: I will start by considering different ways to prove these two theorems and some of their improvements.

These  theorems, originally aimed at  the (negative) solution of Hilbert’s 10th problem, found numerous applications, mainly for establishing impossibility of something else (today the literature totals more than 1000 items). I’ll discuss a few of such applications in various branches of mathematics.  The selection is personal, for example, I won’t touch numerous extensions of Hilbert’s 10th problem to other rings (there were many brilliant talks about them during this semester).

A few (most likely, very difficult) related open problems will be discussed as well.

Asset no preview Slides 2.63 MB application/pdf

60 Years Of DPR-Theorem And 50 Years Of DPRM-Theorem