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Irreducibility of random polynomials

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Authors : Kozma, Gady (Author of the conference)
CIRM (Publisher )

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Abstract : Take a polynomial of degree n with coefficients +/ - 1 taken randomly, independently. What is the probability that it is irreducible over the rationals? This question is still open, but a lot of progress happened around it in recent years. We will survey some of this progress, including joint work with Lior Bary-Soroker, Dimitris Koukoulopoulos and David Hokken.

MSC Codes :
11R09 - Polynomials (irreducibility, etc.)

    Information on the Video

    Film maker : Recanzone, Luca
    Language : English
    Available date : 23/10/2023
    Conference Date : 03/10/2023
    Subseries : Research talks
    arXiv category : Number Theory ; Probability
    Mathematical Area(s) : Probability & Statistics
    Format : MP4 (.mp4) - HD
    Video Time : 00:48:56
    Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students
    Download : https://videos.cirm-math.fr/2023-10-03_Kozma.mp4

Information on the Event

Event Title : Probability and Geometry in, on and of non-Euclidian spaces / Probabilités et géométrie dans, sur et des espaces non-euclidiens
Event Organizers : Curien, Nicolas ; Garcia-Failde, Elba ; Petri, Bram ; Singh, Arvind
Dates : 02/10/2023 - 06/10/2023
Event Year : 2023
Event URL : https://conferences.cirm-math.fr/2897.html

Citation Data

DOI : 10.24350/CIRM.V.20099203
Cite this video as: Kozma, Gady (2023). Irreducibility of random polynomials. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20099203
URI : http://dx.doi.org/10.24350/CIRM.V.20099203

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