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SUMMARY:Special Kaehler metrics on holomorphic submersions - Annamaria Ort
 u\, Scuola Internazionale Superiore di Studi Avanzati
DTSTART:20220202T141500Z
DTEND:20220202T151500Z
UID:TALK168509@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:Proper holomorphic submersions of Kähler manifolds can be tho
 ught of as both a generalisation of holomorphic vector bundles and as a wa
 y of studying the behaviour of Kähler manifolds in families\, one of the 
 main goals of moduli theory. We will consider fibrations whose fibres are 
 K-semistable varieties and admit a K-polystable degeneration\, and we will
  describe a conditions\, called optimal symplectic connection condition\, 
 which represents a canonical choice of a relatively Kähler metric and a g
 eneralisation of the Hermite-Einstein condition on vector bundles.\n
LOCATION:CMS MR13
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