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Local Weyl equivalence of Fuchsian equations

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Post-edited
Authors : Yakovenko, Sergei (Author of the conference)
CIRM (Publisher )

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linear systems classification of singularities Gauge classification higher order equations Weyl equivalence Weyl algebra local flavour noncommutative formal series resonance Liouville integrability Stokes phenomenon Questions
Abstract : Classifying regular systems of first order linear ordinary equations is a classical subject going back to Poincare and Dulac. There is a gauge group whose action can be described and an integrable normal form produced. A similar problem for higher order differential equations was never addressed, perhaps because the corresponding equivalence relationship is not induced by any group action. Still one can develop a reasonable classification theory, largely parallel to the classical theory. This is a joint work with Shira Tanny from the Weizmann Institiute, see http://arxiv.org/abs/1412.7830.

MSC Codes :
34C20 - Transformation and reduction of equations and systems, normal forms
 34M35 - Singularities, monodromy, local behavior of solutions, normal forms
    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 25/06/15
    Conference Date : 11/06/15
    Subseries : Research talks
    arXiv category : Classical Analysis and ODEs ; Complex Variables
    Mathematical Area(s) : Dynamical Systems & ODE ; Algebraic & Complex Geometry
    Format : QuickTime (.mov) Video Time : 00:54:53
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2015-06-11_Yakovenko.mp4
Information on the Event

Event Title : Real analytic geometry and trajectories of vector fields / Géométrie analytique réelle et trajectoires de champs de vecteurs
Event Organizers : Kurdyka, Krzysztof ; Parusinski, Adam ; Rolin, Jean-Philippe ; Sanz, Fernando
Dates : 08/06/15 - 12/06/15
Event Year : 2015
Event URL : http://conferences.cirm-math.fr/1220.html

Citation Data

DOI : 10.24350/CIRM.V.18771503
Cite this video as: Yakovenko, Sergei (2015). Local Weyl equivalence of Fuchsian equations. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18771503
URI : http://dx.doi.org/10.24350/CIRM.V.18771503

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