Moduli theory, stability of fibrations and optimal symplectic connections

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• Ruadhaí Dervan, Cambridge
• Tuesday 18 February 2020, 16:00-17:00
• Physics West 115.

If you have a question about this talk, please contact Timothy Magee.

I will describe a new notion of stability associated to fibrations in algebraic geometry. The definition generalises, and is analogous to, the notion of slope stability of a vector bundle. Much like Tian-Donaldson’s notion of K-stability, there is an associated notion of a “canonical metric”, in the form of an “optimal symplectic connection”. Our main result shows that the existence of an optimal symplectic connection implies that the fibration is semistable. There is an associated moduli problem for stable fibrations over a fixed base, and I will also explain certain aspects of this. This is joint work with Lars Sektnan.

This talk is part of the Geometry and Mathematical Physics seminar series.

This talk is included in these lists:

• Bham Talks
• Geometry and Mathematical Physics seminar
• Physics West 115
• School of Mathematics events

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