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GAIA Seminar on Complex Analytic Geometry-Prof.Lea Blanc-Centi (Univeriste de Lille I, France)

posted Aug 14, 2013, 12:41 AM by Jihye Jung   [ updated Aug 14, 2013, 12:47 AM ]
- Title: Stationary holomorphic discs and finite jet determination problems
- Speaker: Professor Lea Blanc-Centi (Univeriste de Lille I, France)
 - Abstract: For many geometric structures, the automorphisms depend only on a finite number of parameters. For instance, biholomorphic automorphisms of a bounded domain in are identical as soon as they coincide up to order one at any given point. On the other hand, biholomorphic automorphisms of a real hypersurface have to coincide up to order two, according to classical results of Chern, Moser, and Tanaka, when the hypersurface is Levi non-degenerate and real-analytic. Here we propose a different proof of this result, by considering a finitely dimensional invariant manifold of holomorphic discs. This new approach gives an improvement regarding the smoothness of the hypersurface.
- Date : 8:00 p.m. – 10:00 p.m. Monday, 2 September 2013
- Place : The GAIA (Math Science building room 106)

- Contact: Jihye Jung (POSTECH, Tel. 279-8020)



Jihye Jung,
Aug 14, 2013, 12:43 AM