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Post-edited Local Weyl equivalence of Fuchsian equations

Auteurs : Yakovenko, Sergei (Auteur de la Conférence)
CIRM (Editeur )

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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

Résumé : 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.

Codes MSC :
34C20 - Transformation and reduction of equations and systems, normal forms
34M35 - singularities - monodromy - local behavior of solutions - normal forms

    Informations sur la Vidéo

    Réalisateur : Hennenfent, Guillaume
    Langue : Anglais
    Date de publication : 25/06/15
    Date de captation : 11/06/15
    Collection : Research talks
    Format : QuickTime (.mov) Durée : 00:54:53
    Domaine : Dynamical Systems & ODE ; Algebraic & Complex Geometry
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : http://videos.cirm-math.fr/2015-06-11_Yakovenko.mp4

Informations sur la rencontre

Nom du congrès : Real analytic geometry and trajectories of vector fields / Géométrie analytique réelle et trajectoires de champs de vecteurs
Organisteurs Congrès : Kurdyka, Krzysztof ; Parusinski, Adam ; Rolin, Jean-Philippe ; Sanz, Fernando
Dates : 08/06/15 - 12/06/15
Année de la rencontre : 2015
URL Congrès : 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

Bibliographie

  1. Tanny, S., & Yakovenko, S. (2015). On local Weyl equivalence of higher order Fucshian equations. Arnold Mathematical Journal, 2199-6792 - http://dx.doi.org/10.1007/s40598-015-0014-6



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