Title: Non-compact scalar-flat K\"ahler toric metrics and their energy

Abstract: I will talk about a concrete family of scalar-flat K\"ahler 
toric metrics on non-compact toric surfaces. These generalize some well 
know Ricci-flat metrics with toric symmetry: the so-called gravitational 
instantons of Gibbons-Hawking and Kronheimer as well as the Taub-NUT 
metric. After giving some background and introducing these metrics, I hope 
to discuss the relation with some recent developments in K\"ahler 
geometry.