**Introduction**

A prominent example is the Fermat quartic defined by the equation

0=x^{4}+y^{4}+z^{4}+w^{4}

in P

^{3}. K3 surfaces have been studied with a range of methods from algebraic geometry which gives us the opportunityto learn these methods in a concrete application.

**Literature**

- Huybrechts, D. (2016). Lectures on K3 Surfaces (Cambridge Studies in Advanced

Mathematics). Cambridge: Cambridge University Press. - Barth, Hulek, Peters, Van de Ven. Compact Complex Surfaces Springer 2004.

**Prerequisites**

Familiarity with the methods of algebraic geometry.

**Registration**

Via e-mail until October 30.