Florian Bertrand: Stationary discs for finite type hypersurfaces
Title: Stationary discs for finite type hypersurfaces.
Abstract: Stationary discs are holomorphic discs that are attached to a submanifold M of C^n and satisfy additional lifting properties, which ensure that the family of stationary discs is both finite dimensional and biholomorphically invariant. Because of that, such discs are suitable for studying mapping problems between smooth CR submanifolds. The usual notion of stationarity, however, is only well adapted for Levi non-degenerate submanifolds. We consider a generalization that allows the existence of stationary discs also for a large class of smooth finite type hypersurfaces of C^2. This leads to a finite jet determination result for CR mappings between hypersurfaces of this class.
Seminar bo v predavalnici 3.06 na Jadranski 21. Vljudno vabljeni!
Vodji seminarja
Josip Globevnik in Franc Forstneric
