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CATEGORIES:Junior Geometry Seminar
SUMMARY:Cones and fibrations in the theory of K-stability
- Anton Isopoussu (University of Cambridge)
DTSTART;TZID=Europe/London:20150521T150000
DTEND;TZID=Europe/London:20150521T160000
UID:TALK59613AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/59613
DESCRIPTION:The theory of K-stability is a tool for the study
of uniformisation theorems on polarised varieties
using methods of algebraic geometry. We introduce
two new ideas into the theory. Relative K-stabilit
y attempts to classify degenerations of fibrations
into three different types: degenerations of the
cocycle\, degenerations of the general fibre and d
egenerations of the base. We also extend the idea
of working in a convex set of polarisations to the
set of filtered graded linear series. The asympto
tics of a filtration are described by real valued
function on the Okounkov body of a polarisation. W
e describe the behaviour of this function as we mo
ve in the cone of filtered graded linear series.
LOCATION:MR3
CONTACT:Joe Waldron
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