Room P3.10, Mathematics Building

Rosa Sena Dias, Instituto Superior Técnico
Scalar flat Kahler metrics on non-compact toric surfaces

In this talk we will discuss a new construction of scalar-flat Kahler toric metrics on non-compact 4-manifolds. The construction actually gives a new perspective on Gibbons-Hawking\'s so called gravitational instantons. Perhaps more interestingly, it allows us to write down some new examples of complete scalar-flat Kahler metrics on some important non-compact toric varieties. We will give some background on such metrics and show how symplectic toric geometry is well suited to tackle them. This is joint work with Miguel Abreu.