Model theory of valued fields / Théorie des modèles des corps valués

Collection Model theory of valued fields / Théorie des modèles des corps valués

Organizer(s) Chatzidakis, Zoé ; Jahnke, Franziska ; Rideau-Kikuchi, Silvain

Date(s) 29/05/2023 - 02/06/2023

linked URL https://conferences.cirm-math.fr/2761.html

00:00:00 / 00:00:00

20 23

Polynomials that vanish on many sets of codimension 2

By Itaï Ben Yaacov

My main goal is to present a somewhat technical result, joint with Karim Adiprasito and Ehud Hrushovski, about the existence of a family of polynomials whose zeros (at a certain desired family of sets) increase faster than their degree.I will explain the 'local' and 'global' consequences of this result. In the unlikely case I have enough time, I shall attempt to elaborate on the relation to quantiﬁer-free stability in Globally Valued Fields.This will be in some sense complementary to my recent talk in Banff.

Information about the video

Date of recording 02/06/2023
Date of publication 23/06/2023
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20050503
Cite this video Ben Yaacov, Itaï (02/06/2023). Polynomials that vanish on many sets of codimension 2. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20050503
URL https://dx.doi.org/10.24350/CIRM.V.20050503

Domain(s)

Logic

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

All the collection videos

57:48

published on June 23, 2023

Tropical functions on skeletons

By Antoine Ducros

58:31

published on June 23, 2023

Motivic integration with pseudo-finite residue field and fundamental lemma

By Arthur Forey

01:11:28

published on June 23, 2023

An invitation to globally valued fields

By Ehud Hrushovski

01:01:18

published on June 23, 2023

Beyond the Fontaine-Wintenberger theorem

By Konstantinos Kartas

01:01:25

published on June 23, 2023

A Hasse principle over Berkovich analytic curves

By Vlerë Mehmeti

53:56

published on June 23, 2023

Contracting endomorphisms of valued fields

By Yuval Dor

01:08:40

published on June 23, 2023

Group construction in $C$-minimal structures

By Françoise Delon

01:02:55

Transfer of decidability for existential theories of (valued) fields

By Sylvy Anscombe

01:00:16

published on June 23, 2023

Existential uniform p-adic integration and descent for integrability and largest poles

By Raf Cluckers

01:08:01

published on June 23, 2023

Around NIP Noetherian domains

By Will Johnson

01:03:45

published on June 23, 2023

Homology groups in algebraically closed valued fields

By Pablo Cubides Kovacsics

01:03:54

published on June 23, 2023

Definable convex and henselian valuations on ordered fields

By Lothar Sebastian Krapp

46:49

published on June 23, 2023

Residue field domination

By Deirdre Haskell

01:07:10

published on June 23, 2023

Lang-Weil type bounds in finite difference fields

By Martin Hils

$Existential closedness of $\mathbb{Q}^{alg}$ as a globally valued field$
42:06

published on June 23, 2023

Existential closedness of $\mathbb{Q}^{alg}$ as a globally valued field

By Michal Szachniewicz

56:16

published on June 23, 2023

Beautiful pairs revisited

By Jinhe Ye

01:05:07

published on June 23, 2023

Interpretable, definably semisimple groups in various valued fields

By Ya'acov Peterzil

56:37

published on June 23, 2023

An Imaginary Ax-Kochen/Ershov principle: the equicharacteristic zero case

By Mariana Vicaria

01:07:38

published on June 23, 2023

The model theory of Hardy fields and linear differential equations

By Matthias Aschenbrenner

01:01:27

published on June 23, 2023

Polynomials that vanish on many sets of codimension 2

By Itaï Ben Yaacov

01:00:12

published on June 23, 2023

Ax-Kochen-Ershov principles for finitely ramified henselian fields

By Philip Dittmann

01:00:14

published on June 23, 2023

The existential closedness problem for analytic solutions of difference equations

By Adele Padgett

48:56

published on June 23, 2023

Multi topological fields and NTP2

By Samaria Montenegro Guzman

Copyright Carmin.tv 2024

Give feedback