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Galois codes for arithmetic and geometry via the power of valuation theory

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Post-edited
Authors : Koenigsmann, Jochen (Author of the conference)
CIRM (Publisher )

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absolute Galois group rational numbers Neukirch theorem Pop theorem Faltings theorem language of Cherlin-van den Dries-Macintyre Hilbert tenth problem on decidability section conjecture of Grothendieck's anabelian geometry effective Faltings local fields local to global effective Faltings questions rigid elements
Abstract : We give a survey on recent advances in Grothendiek's program of anabelian geometry to characterize arithmetic and geometric objects in Galois theoretic terms. Valuation theory plays a key role in these developments, thus confirming its well deserved place in mainstream mathematics.
The talk notes are available in the PDF file at the bottom of the page.

MSC Codes :
12F10 - Separable extensions, Galois theory
 12J10 - Valued fields
 12L12 - Model theory
    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 17/11/15
    Conference Date : 13/10/15
    Subseries : Research talks
    arXiv category : Number Theory ; Algebraic Geometry
    Mathematical Area(s) : Algebra ; Number Theory
    Format : MP4 (.mp4) - HD
    Video Time : 01:01:09
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2015-10-13_Koenigsmann.mp4
Information on the Event

Event Title : Ordered algebraic structures and related topics / Structures algébriques ordonnées et leurs interactions
Event Organizers : Broglia, Fabrizio ; Delon, Françoise ; Dickmann, Max ; Gondard, Danielle
Dates : 12/10/15 - 16/10/15
Event Year : 2015
Event URL : http://conferences.cirm-math.fr/1155.html

Citation Data

DOI : 10.24350/CIRM.V.18863003
Cite this video as: Koenigsmann, Jochen (2015). Galois codes for arithmetic and geometry via the power of valuation theory. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18863003
URI : http://dx.doi.org/10.24350/CIRM.V.18863003

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