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Nombre de programmes trouvés : 878
Conférences

le (2h14m36s)

Cédric Villani - La pire et la meilleure des erreurs de Poincaré

Cédric Villani est professeur à l’Université Lyon I et depuis 2009 directeur de l’Institut Henri Poincaré à Paris. Il a été lauréat de plusieurs prix prestigieux dont la Médaille Fields 2010. Le génial mathématicien Henri Poincaré (1854-1912), est resté célèbre pour ses fulgurances et ses intuitions, mais aussi son style approximatif et ses imprécisions. L’une de ses erreurs, menant à la découverte du phénomène de sensibilité aux conditions initiales et portant en germe la théorie du chaos, fut aussi son triomphe ; une autre ...
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Cours magistraux

le (2h13m24s)

Lars Andersson - Geometry and analysis in black hole spacetimes (Part 3)

Black holes play a central role in general relativity and astrophysics. The problem of proving the dynamical stability of the Kerr black hole spacetime, which is describes a rotating black hole in vacuum, is one of the most important open problems in general relativity.Following a brief introduction to the evolution problem for theEinstein equations, I will give some background on geometry of the Kerr spacetime. Theanalysis of fields on the exterior of the Kerr black hole serve as important model problems for the black hole stability problem. I will discuss some of the difficulties one encounters in analyzing waves in ...
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Cours magistraux

le (2h9m59s)

Jean-Pierre Demailly - Kobayashi pseudo-metrics, entire curves and hyperbolicity of algebraic varieties (Part 4)

We will first introduce the basic concepts pertaining to Kobayashi pseudo-distances and hyperbolic complex spaces, including Brody’s theorem and the Ahlfors-Schwarz lemma. One of the main goals of the theory is to understand conditions under which a given algebraic variety is Kobayashi hyperbolic. This leads to the introduction of jet spaces and jet metrics, and provides a strong link between the existence of entire curves and the existence of global algebraic differential equations.  
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Cours magistraux

le (2h4m58s)

Rod Gover - An introduction to conformal geometry and tractor calculus (Part 2)

After recalling some features (and the value of) the invariant ``Ricci calculus'' of pseudo-­‐Riemannian geometry, we look at conformal rescaling from an elementary perspective. The idea of conformal covariance is visited and some covariant/invariant equations from physics are recovered in this framework. Motivated by the need to develop a more effective approach to such problems we are led into the idea of conformal geometry and a conformally invariant calculus; this``tractor calculus'' is then developed explicitly. We will discuss how to calculate using this, and touch on applications to the construction of conformal invariants and conformally invariant differential operators. The second ...
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