# Symplectic 4-manifolds with trivial canonical class

## Stefano Vidussi

We will explain what is a symplectic manifold and its asociated canonical class, and discuss so new and not-so-new results on the classification of symplectic 4-manifolds whose canonical class is trivial. In particular, we will show that whenever the manifolds admits a circle action, these can be completely classified, by using some nontrivial results in 3-manifold topology. (Joint work with Stefan Friedl)