Oka tubes in holomorphic line bundles

Prof. Yuta Kusakabe
2024-07-09 14:30-15:30
ZOOM

Speaker: Prof. Yuta Kusakabe (Kyushu University)
Time: 14:30-15:30  July 9, 2024 (Tuesday)
Venue: Online (Zoom ID: 3329836068  Password: mcm1234)
Title: Oka tubes in holomorphic line bundles
Abstract: An affirmative answer to Gromov's conjecture characterizes Oka manifolds by a certain kind of ellipticity which is the opposite of Kobayashi-Eisenman-Brody hyperbolicity. Based on the fact that the zero section of a negative line bundle on a compact hyperbolic manifold admits a basis of pseudoconvex Kobayashi hyperbolic neighborhoods, we discuss the question of when the zero section of a line bundle admits a basis of pseudoconcave Oka neighborhoods.
This talk is based on joint work with Franc Forstnerič.