Math.Koll. am 29.3.06/Dr. Bernhard Lamel

[Institut für Mathematik]

Mathematisches Kolloquium

EINLADUNG

zu einem

VORTRAG

von

Dr. Bernhard Lamel
(Fakultaet fuer Mathematik, Universitaet Wien)

mit dem Thema:

''Parametrization of groups of CR automorphisms''

Abstract: Given a germ of a real-analytic hypersurface (M,0) in
N-dimensional complex space C^N, the finite jet parametrization problem asks
to determine a suitable inverse to the map which associates to a
biholomorphism H:(C^N,0)->(C^N,0) taking (M,0)  its k-jet j_0^k H at 0, for
an appropriate integer k.

These biholomorphisms form a group, called the stability group of (M,0) and
denoted by Aut(M,0). The upshot from a good solution of the finite jet
parametrization problem is that the jets can be used as parameters providing
a Lie gorup structure on Aut(M,0). We survey the known results and discuss
recent joint work with Nordine Mir providing (among other things) a solution
to this problem for hypersurfaces containing no complex varieties (and
therefore, for boundaries of real-analytic domains).

The research was supported by the FWF, Projekt P17111.

Zeit: Mittwoch, 29. Maerz 2006,
	15.45 Uhr (Kaffeejause), anschlieszend 16.15 Uhr Vortrag

Ort: Fakultaet fuer Mathematik der Universitaet Wien, Nordbergstr. 15,
       Seminarraum C 2.09

Harald Rindler
Friedrich Haslinger