Speaker: Prof. Yuta Kusakabe，Kyushu University

Inviter: Dr. Zhangchi Chen (MCM)

Title: Oka domains and the dual Levi problem

Language: Chinese

Time & Venue: 2024.07.09 13:00-14:00 Zoom ID: 3329836068 Password: mcm1234

Abstract: A complex manifold is an Oka manifold if continuous maps from Stein manifolds can be deformed into holomorphic maps with approximation and interpolation. Dual to Stein manifolds, which are the most natural sources of holomorphic maps, Oka manifolds are the most natural targets. In this talk, we consider the dual version of the Levi problem which asks when a domain in a complex manifold is an Oka manifold. Our main theorem states that the complement of a compact holomorphically convex set in a Stein manifold with the density property is an Oka domain, which gives an affirmative answer to the Forstnerič-Prezelj problem.