Friday, February 5th at 10:30, Andrea Petracci (Freie Universität Berlin)

On deformations and moduli of Fano varieties

Fano varieties are complex projective varieties with "positive curvature". They have a prominent role in algebraic geometry for many reasons, there are very few of them, they constitute the basic building blocks of algebraic varieties.
In this talk I will explain how their complex structure deforms and how it is possible to construct singular points in the moduli space of K-polystable Fano varieties (i.e. Fano varieties admitting a Kähler-Einstein metric).
This is joint work with Anne-Sophie Kaloghiros.

The seminar will take place online. Click here for the Zoom link.