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Motivic, logarithmic and topological Milnor fibrations

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Authors : Fichou, Goulwen (Author of the conference)
CIRM (Publisher )

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Abstract : We compare the topological Milnor fibration and the motivic Milnor fibreby introducing a common extension : the complete Milnor fibration. This extension is constructed using either logarithmic geometry or an oriented (multi)graph construction, for a complex regular function with only normal crossings. The comparison uses quotients by the action of the group of positive real numbers. We study moreover how this model changes under blowings-up. Joint work with J.-B. Campesato and A. Parusinski.

Keywords : Milnor fibrations; motivic integration; log geometry

MSC Codes :
14D05 - Structure of families (Picard-Lefschetz, monodromy, etc.)
14E18 - Arcs and motivic integration

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 10/12/2021
    Conference Date : 22/11/2021
    Subseries : Research talks
    arXiv category : Algebraic Geometry ; Analysis of PDEs
    Mathematical Area(s) : Algebraic & Complex Geometry
    Format : MP4 (.mp4) - HD
    Video Time : 00:54:13
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2021-11-22_Fichou.mp4

Information on the Event

Event Title : Jean-Morlet Chair 2021 - Conference: Faces of Singularity Theory / Chaire Jean-Morlet 2021 - Conférence : Visages de la théorie des singularités
Event Organizers : Fernandez de Bobadilla, Javier ; Pichon, Anne ; Mann, Etienne
Dates : 22/11/2021 - 26/11/2021
Event Year : 2021
Event URL : https://www.chairejeanmorlet.com/2571.html

Citation Data

DOI : 10.24350/CIRM.V.19846803
Cite this video as: Fichou, Goulwen (2021). Motivic, logarithmic and topological Milnor fibrations. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19846803
URI : http://dx.doi.org/10.24350/CIRM.V.19846803

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