Aspects algébriques de la conjecture d’hyperbolicité de Kobayashi et théorie de Cartan
Joël Merker
Laboratoire de Mathématiques d’Orsay
https://www.imo.universite-paris-saclay.fr/~merker/
Date(s) : 06/10/2014 iCal
10h00 - 11h00
Algebraic Aspects of Kobayashi Hyperbolicity Conjecture and Cartan Theory
In 1970, Shoshichi Kobayashi conjectures that, generically, the complements P ^ n (C) – X of complex projective hypersurfaces of great degree X in P ^ n (C) do not contain any non-constant integer (transcendent) holomorphic curve f: C -> P ^ n – X, inspired by Picard’s famous theorem which is valid on the Riemann sphere P ^ 1 (C) – {p_1, p_2, p_3} minus three distinct points. Based on Cartan’s theory of equivalences, the talk will describe the substantial obstacles that contemporary theoretical sophistication has still not overcome in order to capture a valid statement in any dimension n> = 1.
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