C O L L O Q U I U M
SYZ-Conjecture for hyperkählerian manifolds of dimension 4
Professor Andrey Todorov
and
IMS, CUHK
Abstract
Recently Strominger-Yau-Zaslow(SYZ) conjectured the existence of torus calibrated fibration over the three dimensional sphere of Calabi-Yau three folds and the dual fibration should give the so called mirror of the initial CY three fold.
In this talk we will describe the analogue of SYZ conjecture for four dimensional Hyper-Kähler manifolds. We will show that the complex structure on any four dimensional Hyper-Kähler manifold can be isometrically deformed to a new Hyper-Kähler manifold which can be fibred over the complex projective plane on two dimensional complex toruses.
There is a hope that this result will show that there exists only finite number of topological Hyper-Kähler compact manifolds.
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Date: |
January 12, 2001 (Friday) |
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Time: |
4:00 - 5:00pm |
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Place: |
Room 517, Meng Wah Complex |
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All are welcome |
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