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Home » Geometry Research Seminar: Collapsing of negative Kahler-Einstein metrics

Seminar

Geometry Research Seminar: Collapsing of negative Kahler-Einstein metrics January 27, 2016 (11:00 AM PST - 12:00 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Yuguang Zhang (Mathematical Sciences Center, Tsinghua University)
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In this talk, we study the collapsing of negative Kahler-Einstein metrics along degenerations of canonical polarized manifolds. We show that for a toroidal degeneration of canonical polarized manifolds with the total space Q-factorial, the Kahler-Einstein metrics on fibers collapse to a lower dimensional complete Riemannian manifold in the pointed Gromov-Hausdorff sense. Furthermore, the most collapsed limit is a real affine Kahler manifold.  

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