Éveline Legendre (of the Université de Toulouse) will speak at the geometry seminar on 26th January 2016. Her title is *“The Hilbert-Einstein functional and the Sasaki-Futaki invariant”*. Her abstract is below. The talk will take place at 2pm, in the Salle des Profs, 9th floor of building NO.

I will show how the Hilbert-Einstein functional detects the Reeb vector fields having a vanishing transversal Futaki invariant and so that it is an obstruction to the existence of constant scalar curvature Sasaki metrics. We also discuss the relation of this functional with the sasakian K-stability defined by Collins–Szekelyhidi.