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UID:node-2936242@mathematics.huji.ac.il
DTSTAMP:20210420T150000Z
DTSTART:20210420T150000Z
DTEND:20210420T160000Z
SUMMARY:T&G: Tamas Darvas (University of Maryland), Optimal asymptotic of the J functional with respect to the d_1 metric
DESCRIPTION:We consider the space of Kahler metrics on a compact Kahler manifold. This space is an infinite dimensional manifold, and admits many natural quantities describing its geometry. For example, it is known that the L^1 Finsler metric on this space has asymptotic growth comparable to the so-called J functional.We obtain sharp inequalities between the large scale asymptotic of the Jfunctional with respect to this L^1metric. Applications regarding the initial value problem for Mabuchi geodesic rays are presented (joint with K. Smith and E. George).
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