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An Einstein-Hilbert approach to the Donaldson-Futaki Invariant

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EMGW04 - K-stability and moment maps

I will present a joint work with Abdellah Lahdili (Université du Québec à Montréal) and Eveline Legendre (Université Lyon 1), in which we propose a variational approach to the question of existence of constant scalar curvature Kähler metrics and K-stability that is based on some newly discovered properties of (a version of) the Einstein-Hilbert functional. In this talk I will present some of these properties, particularly in connection with test configurations and the Donaldson-Futaki invariant, and show how they can be used to give an alternative proof of the K-semistability of cscK manifolds.

This talk is part of the Isaac Newton Institute Seminar Series series.

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