Ahmad Hussein: Fefferman chains and the local sphericity of strongly pseudoconvex hypersurfaces in C^3

V torek, 14. januarja ob 12. uri in 30 minut, bo v okviru seminarja za kompleksno analizo predavanje

Ahmad Hussein: Fefferman chains and the local sphericity of strongly pseudoconvex hypersurfaces in C^3.

Abstract: In this talk, we present a recent result concerning the behavior of Fefferman chains (null geodesics) associated with the Fefferman metric on strongly pseudoconvex hypersurfaces in C^3. We show that for a point p in such a hypersurface M, the chains around p are simple - meaning that, under "almost horizontal" initial conditions, they project to "nice enough deformations" of circles in the tangent sphere at p - if and only if p is an umbilical point of M. Thus, M is locally a sphere if and only if its chains are locally simple.

Predavanje bo potekalo hibridno, v predavalnici 3.05 na Jadranski 21 in preko aplikacije Zoom:

https://uni-lj-si.zoom.us/j/99382527395

Meeting ID: 993 8252 7395

Vljudno vabljeni!

Vodji seminarja

Franc Forstneric in Barbara Drinovec Drnovsek