Differential Geometry Seminar | Oka tubes in holomorphic line bundles

Time：2023-12-19, Tuesday 21:00 - 22:00

Venue：Zoom Meeting ID: 271 534 5558 Passcode: YMSC

Organizer：Jialong Deng, Akito Futaki

Speaker：Yuta Kusakabe Kyoto University

Abstract：

A complex manifold is called an Oka manifold if continuous maps from Stein manifolds can be deformed into holomorphic maps with approximation and interpolation. Oka manifolds are characterized 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 complex manifold admits a basis of pseudo-Kobayashi hyperbolic neighborhoods, we discuss the question of when the zero section of a line bundle admits a basis of Oka neighborhoods. This talk is based on joint work with Franc Forstnerič.

Zoom link：

https://us06web.zoom.us/j/2715345558?pwd=eXRTTExpOVg4ODFYellsNXZVVlZvQT09

DATEDecember 19, 2023

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