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Incidences in Cartesian products

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Authors : Solymosi, Jozsef (Author of the conference)
CIRM (Publisher )

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Abstract : Various problems in additive combinatorics can be translated to a question about incidences in Cartesian products. A well known example is Elekes' treatment of the sum-product problem but there are many more applications of incidence bounds to arithmetic problems. I will review the classical applications and show some recent results.

MSC Codes :
05Dxx - Extremal combinatorics
11B13 - Additive bases, including sumsets
11B75 - Combinatorial number theory
52C10 - Erdos problems and related topics of discrete geometry, See also {11Hxx}

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 30/09/15
    Conference Date : 08/09/15
    Subseries : Research talks
    arXiv category : Combinatorics ; Number Theory
    Mathematical Area(s) : Combinatorics ; Number Theory
    Format : MP4 (.mp4) - HD
    Video Time : 00:33:56
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2015-09-08_Solymosi.mp4

Information on the Event

Event Title : Additive combinatorics in Marseille / Combinatoire additive à Marseille
Event Organizers : Hennecart, François ; Plagne, Alain ; Szemerédi, Endre
Dates : 07/09/15 - 11/09/15
Event Year : 2015
Event URL : http://conferences.cirm-math.fr/1107.html

Citation Data

DOI : 10.24350/CIRM.V.18834003
Cite this video as: Solymosi, Jozsef (2015). Incidences in Cartesian products. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18834003
URI : http://dx.doi.org/10.24350/CIRM.V.18834003

Bibliography



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