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Seminar

DDC - Valuation Theory: Toward anabelian geometry with coefficients November 18, 2020 (09:00 AM PST - 10:00 AM PST)
Parent Program:
Location: MSRI: Online/Virtual
Speaker(s) Adam Topaz (University of Alberta)
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

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Abstract/Media

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

Abstract:

Anabelian geometry usually deals with profinite invariants of arithmetic/geometric objects, such as Galois groups, étale fundamental groups, etc. However, some recent results suggest that anabelian phenomena can be found in other invariants as well, especially those arising from "good" cohomology theories for algebraic varieties. Valuation theory plays a central role in this perspective. This talk will present an overview of these phenomena, including some work-in-progress which hints that anabelian phenomena can exist independently of the cohomology theory and/or its coefficient ring.

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