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Seminar

DDC Valuation Theory Seminar: Definability of Valuations and Applications August 26, 2020 (09:00 AM PDT - 11:00 AM PDT)
Parent Program:
Location: SLMath: Online/Virtual
Speaker(s) Florian Pop (University of Pennsylvania)
Description

Valuation theory plays a major part in the interaction between number theory and logic. In this seminar, a variety of topics from valuation theory, and in particular connections to model theory, will be discussed. There will be a strong emphasis on results involving the definability of valuations.

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

Definability Of Valuations And Applications

Abstract/Media

Valuations are an essential tool in arithmetic algebraic geometry and algebraic geometry, e.g. studying solvability and/or decidability of diophantine problems, questions about birational invariants of algebraic varieties, etc. In this

introductory talk I will touch upon two aspects of definability of valuations, namely the first order definability, respectively the Galois theoretical definability, and mention some  applications.

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

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Definability Of Valuations And Applications

H.264 Video 25138_28636_8449_Definability_of_Valuations_and_Applications.mp4