REMINDER - ICTP-SISSA Math Seminar on Kähler Geometry (Zoom Meeting) - Friday 29 January at 14:00 (Lars Sektnan)

[ICTP Math Section]

ICTP-SISSA Math Seminar on Kähler Geometry


Friday 29 January, at 14:00, Central European Time

/This //talk is partly in preparation to Michael Hallam's talk on 5 
February 2021 (Please visit http://indico.ictp.it/event/9540/ for 
further information on the talk//)./


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Speaker: Lars Sektnan (Aarhus University)

Title: Optimal symplectic connections and stability of fibrations

Abstract: In this talk I will discuss the notions of an optimal 
symplecticconnection and stability of fibrations. The former is a PDE for a
canonical choiceof fibrewise constant scalar curvature Kähler (cscK) 
metric, for afibration whosefibres admit cscK metrics. The latter is a 
notion of algebro-geometric
stability forsuch fibrations.
The goal of the talk is to explain what these notions are, partly 
inpreparation forMichael Hallam's talk the following week. I aim to 
explain how the notionsarose,
and how they specialise to the Hermite-Einstein equation and slope 
stability,respectively, for the underlying vector bundle, when the 
fibration is theprojectivisation of a vector bundle. I will survey some 
of the resultsknown aboutthese notions, and how they are related.
This is joint work with RuadhaíDervan.