Virtualconference
H A model-theoretic analysis of geodesic equations in negative curvature
Auteurs : Jaoui, Rémi (Auteur de la Conférence)
CIRM (Editeur )
CIRM (Editeur )
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[Virtualconference]
Hyperkähler structures on symplectic realizations of holomorphic Poisson surfaces
/ Auteur de la Conférence Mayrand, Maxence.
-Marseille : CIRM
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[Virtualconference]
MMP & foliations on 3-folds : applications
/ Auteur de la Conférence Svaldi, Roberto.
-Marseille : CIRM
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[Virtualconference]
Regular foliations on rationally connected manifolds
/ Auteur de la Conférence Figueredo, João Paulo.
-Marseille : CIRM
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[Virtualconference]
Boundedness of minimal partial du Val resolutions of canonical surface foliations
/ Auteur de la Conférence Chen, Yen-An.
-Marseille : CIRM
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[Virtualconference]
Topics on the Poisson varieties of dimension at least four
/ Auteur de la Conférence Okumura, Katsuhiko.
-Marseille : CIRM
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[Virtualconference]
On symmetries of transversely projective foliations
/ Auteur de la Conférence Lo Bianco, Federico.
-Marseille : CIRM
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[Virtualconference]
Higher Ramanujan foliations
/ Auteur de la Conférence Jardim Da Fonseca, Tiago.
-Marseille : CIRM
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[Virtualconference]
Dynamics of Jouanolou foliation
/ Auteur de la Conférence Deroin, Bertrand.
-Marseille : CIRM
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[Virtualconference]
Complete holomorphic vector fields and their singular points - lecture 4
/ Auteur de la Conférence Guillot, Adolfo.
CIRM
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[Virtualconference]
Complete holomorphic vector fields and their singular points - lecture 3
/ Auteur de la Conférence Guillot, Adolfo.
-Marseille : CIRM
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[Virtualconference]
Complete holomorphic vector fields and their singular points - lecture 1
/ Auteur de la Conférence Guillot, Adolfo.
-Marseille : CIRM
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[Virtualconference]
Complete holomorphic vector fields and their singular points - lecture 2
/ Auteur de la Conférence Guillot, Adolfo.
-Marseille : CIRM
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[Virtualconference]
Fano foliations 3 - Classification of Fano foliations of large index - lecture 4
/ Auteur de la Conférence Araujo, Carolina.
-Marseille : CIRM
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[Virtualconference]
Fano foliations 1 - Definition, examples and first properties - lecture 2
/ Auteur de la Conférence Araujo, Carolina.
-Marseille : CIRM
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[Virtualconference]
MMP for co-rank1 foliations - lecture 2
/ Auteur de la Conférence Spicer, Calum.
-Marseille : CIRM
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[Virtualconference]
MMP for co-rank1 foliations - lecture 1
/ Auteur de la Conférence Spicer, Calum.
-Marseille : CIRM
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[Virtualconference]
MMP for foliations of rank one - lecture 2
/ Auteur de la Conférence Cascini, Paolo.
-Marseille : CIRM
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[Virtualconference]
An overview of the minimal model program - lecture 1
/ Auteur de la Conférence Cascini, Paolo.
-Marseille : CIRM
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[Virtualconference]
Codimension one foliation with pseudo-effective conormal bundle - lecture 3
/ Auteur de la Conférence Touzet, Frédéric.
-Marseille : CIRM
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[Virtualconference]
Codimension one foliation with pseudo-effective conormal bundle - lecture 2
/ Auteur de la Conférence Touzet, Frédéric.
-Marseille : CIRM
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[Virtualconference]
Codimension one foliation with pseudo-effective conormal bundle - lecture 1
/ Auteur de la Conférence Touzet, Frédéric.
-Marseille : CIRM
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[Virtualconference]
Holomorphic Poisson structures - lecture 4
/ Auteur de la Conférence Pym, Brent.
-Marseille : CIRM
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[Virtualconference]
Fano foliations 2 - Adjunction formula and applications - lecture 3
/ Auteur de la Conférence Druel, Stéphane.
-Marseille : CIRM
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[Virtualconference]
Fano foliations 0 - Algebraicity of smooth formal schemes and applications to foliations - lecture 1
/ Auteur de la Conférence Druel, Stéphane.
-Marseille : CIRM
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[Virtualconference]
Holomorphic Poisson structures - lecture 3
/ Auteur de la Conférence Pym, Brent.
-Marseille : CIRM
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[Virtualconference]
Holomorphic Poisson structures - lecture 2
/ Auteur de la Conférence Pym, Brent.
-Marseille : CIRM
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[Virtualconference]
Holomorphic Poisson structures - lecture 1
/ Auteur de la Conférence Pym, Brent.
-Marseille : CIRM
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Résumé :
To any algebraic differential equation, one can associate a first-order structure which encodes some of the properties of algebraic integrability and of algebraic independence of its solutions.To describe the structure associated to a given algebraic (nonlinear) differential equation (E), typical questions are:- Is it possible to express the general solutions of (E) from successive resolutions of linear differential equations?- Is it possible to express the general solutions of (E) from successive resolutions of algebraic differential equations of lower order than (E)?- Given distinct initial conditions for (E), under which conditions are the solutions associated to these initial conditions algebraically independent?In my talk, I will discuss in this setting one of the first examples of non-completely integrable Hamiltonian systems: the geodesic motion on an algebraically presented compact Riemannian surface with negative curvature. I will explain a qualitative model-theoretic description of the associated structure based on the global hyperbolic dynamical properties identified by Anosov in the 70’s for the geodesic motion in negative curvature.
Codes MSC :
12H05
- Differential algebra
37D40
- Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
53C22
- Geodesics [See also 58E10]
53D25
- Geodesic flows
MINIMAL MODEL PROGRAM - Cascini, Paolo; Spicer, Calum
CODIMENSION ONE FOLIATIONS WITH PSEUDO-EFFECTIVE CONORMAL BUNDLE - Touzet Frédéric
HOLOMORPHIC POISSON STRUCTURES - Pym, Brent
FANO FOLIATIONS - Druel, Stéphane; Aroujo, Carolina
COMPLETE HOLOMORPHIC VECTOR FIELDS AND THEIR SINGULAR POINTS - Guillot, Adolfo
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 05/06/2020 Date de captation : 25/05/2020 Collection : Research School ; Dynamical Systems and Ordinary Differential Equations ; Logic and Foundations Durée : 00:34:33 Domaine : Dynamical Systems & ODE ; Logic and Foundations Audience : Chercheurs ; Doctorants , Post - Doctorants Download : https://videos.cirm-math.fr/2020-05-25_Jaoui.mp4 
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Informations sur la Rencontre Virtuelle
Nom de la rencontre : Jean-Morlet Chair 2020 - Research School: Geometry and Dynamics of Foliations / Chaire Jean-Morlet 2020 - Ecole : Géométrie et dynamiques des feuilletagesOrganisateurs de la rencontre : Druel, Stéphane ; Pereira, Jorge Vitório ; Rousseau, Erwan Dates : 18/05/2020 - 22/05/2020 Année de la rencontre : 2020 URL Congrès : https://www.cirm-math.com/virtual-event-2251.html
Citation Data
DOI : 10.24350/CIRM.V.19638203Cite this video as: Jaoui, Rémi (2020). A model-theoretic analysis of geodesic equations in negative curvature.CIRM . Audiovisual resource. doi:10.24350/CIRM.V.19638203 URI : http://dx.doi.org/10.24350/CIRM.V.19638203 |
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