# A characterization of rationally convex immersions

## Analyse Complexe et Equations Différentielles

Lieu:
Salle Kampé
Orateur:
Octavian Mitrea
Affiliation:
The University of Western Ontario
Dates:
Lundi, 26 Novembre, 2018 - 14:45 - 15:45
Résumé:

Let S be a smooth, totally real, compact immersion in $\mathbb{C}^n$ of real dimension $m \leq n$, which is locally polynomially convex and it has finitely many points where it self-intersects finitely many times, transversely or non-transversely. Our result proves that S is rationally convex if and only if it is isotropic with respect to a degenerate" Kähler form in $\mathbb{C}^n$. We also show that  there exists a large class of such rationally convex immersions that are not isotropic with respect to any genuine (non-degenerate) Kähler form.