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-------------------------- Messaggio originale --------------------------- Oggetto: [CvGmt News] Colloquio De Giorgi e seminario Ekeland Da: "Luigi Ambrosio" l.ambrosio@sns.it Data: Lun, 14 Marzo 2011 9:43 am A: news@cvgmt.sns.it --------------------------------------------------------------------------
Ennio De Giorgi Colloquium and seminar
IVAR EKELAND
CEREMADE et Institut de Finance Universita` Paris-Dauphine
Aula Dini, Scuola Normale Superiore
22 Marzo 2011
14.00-15.00. Colloquio De Giorgi 15.00-15.30. Coffee break 15.30.17.00. Seminar
Title: An inverse function theorem in C^\infty
Abstract: We state and prove a "hard" inverse function theorem which extends the classical theorem of Nash and Moser. In contrast with the latter, we do not use the Newton iteration procedure, so we do not require that the function to be inverted is C^2, or even C^1, or even Frechet-differentiable. The proof is direct, and relies on Ekeland's variational principle. During the colloquium, we will explain the method and prove the theorem in the "easy" case (Banach spaces) and during the afterwards seminar we will provide the proof in the "hard" case (Frechet spaces)