Title	Kobayashi pseudometric on hyperkähler manifold and Kobayashi’s conjecture
Creator	Kamenova, Ljudmila
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2015-03-17T16:31
Description	The Kobayashi pseudometric on a complex manifold M is the maximal pseudometric such that any holomorphic map from the Poincare disk to M is distance-decreasing. Kobayashi has conjectured that this pseudometric vanishes on Calabi-Yau manifolds. Using ergodicity of complex structures, we prove this conjecture for any hyperkähler manifold that admits a deformation with a Lagrangian fibration, and its Picard rank is not maximal. We shall discuss the proof of Kobayashi’s conjecture for K3 surfaces and for certain hyperkähler manifolds. These results are joint with S. Lu and M. Verbitsky.
Extent	52 minutes
Subject	Mathematics; Several complex variables and analytic spaces; Algebraic geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Stony Brook University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-05-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0300470
URI	http://hdl.handle.net/2429/58078
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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