**Program:**

**Jacopo Stoppa, 17:00 "Recent advances in complex differential geometry"**

The field of differential geometry over a complex manifold has seen spectacular progress in the last few years. Some key results are a complete existence theory for Einstein metrics with positive Ricci curvature satisfying the Kaehler condition, as well as a proof that an analogue of Yau's estimates holds for the scalar curvature in this setting. This talk aims at offering a brief introduction to complex differential geometry, starting from the basics and giving at least a glimpse of these recent breakthroughs.

**Nicola Gigli, 18:00 "Spaces with Ricci curvature bounded from below: state of the art and future challanges"**

I will give an overview over the fast-growing theory of synthetic treatment of lower Ricci curvature bounds, highliting some recent results and pointing out some of the future perspectives of the field.