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SUMMARY:Ruadhai Dervan (University of Cambridge)
DTSTART:20200723T150000Z
DTEND:20200723T160000Z
DTSTAMP:20260423T021355Z
UID:ZAG/34
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/34/">Sta
 bility of fibrations</a>\nby Ruadhai Dervan (University of Cambridge) as p
 art of ZAG (Zoom Algebraic Geometry) seminar\n\n\nAbstract\nThe notion of 
 K-stability of a polarised variety has been heavily studied in recent year
 s\, due to its link both with moduli theory (one should be able to form mo
 duli spaces of K-stable varieties) and to Kahler geometry (K-stability sho
 uld be equivalent to the existence of a constant scalar curvature Kahler m
 etric on the variety). This story has been particularly successful for Fan
 o varieties. I will describe a notion of stability for polarised fibration
 s\, which generalises K-stability of polarised varieties when the base of 
 the fibration is a point\, and slope stability of a vector bundle when the
  variety is the projectivisation of a vector bundle. I will speculate that
  one should be able to form moduli spaces of stable fibrations\, much as o
 ne can form moduli spaces of slope stable vector bundles over a fixed base
 . The main result\, however\, will be a description of the link with certa
 in canonical metrics on fibrations. This is joint work with Lars Sektnan.\
 n
LOCATION:https://researchseminars.org/talk/ZAG/34/
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