Ruadhai Dervan (University of Cambridge) will speak in the geometry seminar on Tuesday 3 December 2019 at 11am in the Salle de Profs. (Ruadhai’s talk was initially planned for the 29th of October but has been moved). Ruadhai’s title is *Optimal symplectic connections on holomorphic submersions* and his abstract is below:

*One can think of a Hermite-Einstein metric on a holomorphic vector bundle over a Kähler manifold as determining a canonical choice of Fubini-Study metric on each fibre of the projectivisation of the bundle. I will describe an equation which makes sense for much more general fibrations and (conjecturally) determines a canonical choice of fibrewise constant scalar curvature Kähler metric on each fibre. The main result will use these new metrics to give a novel construction of constant scalar curvature Kähler metrics on the total space of such fibrations. Time permitting, I will describe a largely conjectural picture which explains the geometric significance of these equations. This is joint work with Lars Sektnan.*