Starts 5 Feb 2021 14:00
Ends 5 Feb 2021 15:00
Central European Time
Zoom event
Register in advance for this meeting:
After registering, you will receive a confirmation email containing information about joining the meeting.

Abstract: Following Lars Sektnan's talk on optimal symplectic connections and stability of fibrations [on 29 January, see], I will present new work in this area. The main result is that a fibration admitting an optimal symplectic connection is polystable with respect to a certain large class of fibration degenerations, which builds on a previous result obtained by Dervan and Sektnan. To prove this, we analyse geodesics in the space of all fibrewise cscK (constant scalar curvature Kähler) metrics, and show that a natural log-norm functional on this space is convex along geodesics. Along the way, we use the tools developed to give a new and illuminating proof that optimal symplectic connections are unique up to automorphisms within a fixe relatively Kähler class (another result due to Dervan and Sektnan). 
This work is for my PhD thesis, supervised by Ruadhaí Dervan and Frances Kirwan.