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DDC: Valuation Theory (Fall 2020)

Decidability, Definability, and Computability in Number Theory

DDC Valuation Theory

Wednesdays at 9:00am Pacific Time
Organizers: Franziska Jahnke, Sylvy Anscombe, and Philip Dittmann

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.

Definability of Valuations and Applications

Speaker: Florian Pop
August 26, 2020 (09:00 AM PDT - 11:00 AM PDT)
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The étale open topology

Speaker: Jinhe Ye
September 02, 2020 (09:00 AM PDT - 10:00 AM PDT)
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Groups definable in difference-differential fields

Speaker: Zoé Chatzidakis
September 09, 2020 (09:00 AM PDT - 10:00 AM PDT)
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Defining valuation and holomorphy rings in function fields using quadratic forms

Speaker: Nicolas Daans
September 16, 2020 (10:00 AM PDT - 11:00 AM PDT)
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Existential definability of valuations over function fields with constant fields embeddable into q-bounded algebraic extensions of local fields and H10 over these fields

Speaker: Alexandra Shlapentokh
September 23, 2020 (09:00 AM PDT - 10:00 AM PDT)
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Deeply ramified fields and their relatives

Speaker: Franz-Viktor Kuhlmann
September 30, 2020 (09:00 AM PDT - 10:00 AM PDT)
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Beyond V-topologies

Speaker: William Johnson
October 07, 2020 (09:00 AM PDT - 10:00 AM PDT)
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Essential dimension of diophantine sets

Speaker: Arno Fehm
October 14, 2020 (09:00 AM PDT - 10:00 AM PDT)
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Pseudo-T-closed fields, approximations and NTP2

Speaker: Silvain Rideau-Kikuchi
October 21, 2020 (09:00 AM PDT - 10:00 AM PDT)
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n-dependent (valued) fields

Speaker: Nadja Hempel
October 28, 2020 (09:00 AM PDT - 10:00 AM PDT)
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Hilbert's tenth problem for rings of exponential polynomials

Speaker: Hector Pasten
November 04, 2020 (09:00 AM PST - 10:00 AM PST)
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TBA

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November 11, 2020 (09:00 AM PST - 10:00 AM PST)
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November 18, 2020 (09:00 AM PST - 10:00 AM PST)
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November 25, 2020 (09:00 AM PST - 10:00 AM PST)
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December 02, 2020 (09:00 AM PST - 10:00 AM PST)
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December 09, 2020 (09:00 AM PST - 10:00 AM PST)
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December 16, 2020 (09:00 AM PST - 10:00 AM PST)
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