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SUMMARY:Cones and fibrations in the theory of K-stability - Anton Isopouss
 u (University of Cambridge)
DTSTART:20150521T140000Z
DTEND:20150521T150000Z
UID:TALK59613@talks.cam.ac.uk
CONTACT:Joe Waldron
DESCRIPTION:The theory of K-stability is a tool for the study of uniformis
 ation theorems on polarised varieties using methods of algebraic geometry.
  We introduce two new ideas into the theory. Relative K-stability attempts
  to classify degenerations of fibrations into three different types: degen
 erations of the cocycle\, degenerations of the general fibre and degenerat
 ions of the base. We also extend the idea of working in a convex set of po
 larisations to the set of filtered graded linear series. The asymptotics o
 f a filtration are described by real valued function on the Okounkov body 
 of a polarisation. We describe the behaviour of this function as we move i
 n the cone of filtered graded linear series.
LOCATION:MR3
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