 Title: Stationary holomorphic discs and
finite jet determination problems  Speaker: Professor
Lea BlancCenti (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
nondegenerate and realanalytic. 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. 2798020)

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