Rigid equivalence of Levi degenerate hypersurfaces in complex dimension 3

Jeudi 27 février 11:00-12:00 - The Anh Ta - LMO

Résumé : Poincaré observed that general analytic hypersurfaces in complex space of dimension at least 2 are not equivalent under biholomorphisms.
This raises the question of finding biholomorphic invariants and constructing normal forms for hypersurfaces in complex spaces.
After the works of E. Cartan and of Chern-Moser, a fully developed theory is now available for Levi nondegenerate hypersurfaces,
while the class of Levi degenerate hypersurfaces is still the subject of current researches.
In this talk, we review the developments of the subject and outline recent results in our joint works with Z. Chen, W.-G. Foo and J. Merker.

Lieu : Salle 3L8

Rigid equivalence of Levi degenerate hypersurfaces in complex dimension 3  Version PDF