English
Local Weyl equivalence of Fuchsian equations
Post-edited
Auteurs : Yakovenko, Sergei (Auteur de la Conférence)
CIRM (Editeur )
34C20 - Transformation and reduction of equations and systems, normal forms
34M35 - Singularities, monodromy, local behavior of solutions, normal forms
CIRM (Editeur )
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
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 25/06/15 Date de captation : 11/06/15 Sous collection : Research talks arXiv category : Classical Analysis and ODEs ; Complex Variables Domaine : Dynamical Systems & ODE ; Algebraic & Complex Geometry Format : QuickTime (.mov) Durée : 00:54:53 Audience : Researchers Download : https://videos.cirm-math.fr/2015-06-11_Yakovenko.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Real analytic geometry and trajectories of vector fields / Géométrie analytique réelle et trajectoires de champs de vecteursOrganisateurs de la rencontre : 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
Données de citation
DOI : 10.24350/CIRM.V.18771503Citer cette vidéo: 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
- 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
