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SUMMARY:Asymptotic curvature of moduli spaces for Calabi-Yau threefolds - 
 P.M.H. Wilson (Cambridge)
DTSTART:20100428T131500Z
DTEND:20100428T141500Z
UID:TALK24018@talks.cam.ac.uk
CONTACT:Burt Totaro
DESCRIPTION:This talk will describe recent work by the speaker\nand his re
 search student Thomas Trenner\, which\nin turn follows on from previous wo
 rk by the speaker\non the geometry of Kahler moduli for Calabi-Yau\nthreef
 olds.\n\nMotivated by the classical statements of Mirror\nSymmetry\, we st
 udy certain Kahler metrics\non the complexified Kahler cone of a Calabi-Ya
 u\nthreefold\, conjecturally corresponding to\napproximations to the Weil-
 Petersson metric\nnear large complex structure limit for the mirror.\nIn p
 articular\, the naturally defined\nRiemannian metric (defined via cup-prod
 uct)\non a level set of the Kahler cone is \nseen to be analogous to a sli
 ce of the Weil-Petersson\nmetric near large complex structure limit.\nThis
  enables us to give counterexamples\nto a conjecture of Ooguri and Vafa th
 at the\nWeil-Petersson metric has non-positive\ncurvature in some neighbou
 rhood of the large\ncomplex structure limit point.
LOCATION:MR13\, CMS
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