# Egmont Porten: Holomorphic extension from CR manifolds and hypoellipticity

Source: Complex analysis seminar

V torek, 21. februarja ob 12. uri in 30 minut, bo v okviru seminarja za kompleksno analizo predaval prof. dr. Egmont Porten z univerze Mid Sweden University, Sundsval, Svedska.

Title: Holomorphic extension from CR manifolds and hypoellipticity.

Abstract: The problem to understand the geometry of those CR manifolds in a complex space for which all CR functions admit holomorphic extension to an ambient neighborhood has remained far from a satisfying understanding since the beginning of CR geometry. Very recently, it was proved by Mauro Nacinovich and the speaker that local extension is valid if and only if CR distributions are smooth near the reference point (of course, one direction is trivial). This gives a link from the extension problem to better understood regularity questions. In the talk, I will explain the proof and discuss applications to CR manifolds satisfying a higher-order concavity condition.

Seminar bo v predavalnici 3.06 na Jadranski 21. Vljudno vabljeni!

Vodji seminarja

Josip Globevnik in Franc Forstneric