K3 surfaces & friends: Brauer groups and moduli

K3 surfaces are fundamental objects in algebraic and arithmetic geometry, as well as neighbouring fields. This workshop focuses on two indispensable tools used in the study of K3 surfaces and related objects: Brauer groups and moduli spaces. Brauer groups serve as a bridge between algebraic invariants and geometry, and as such are frequently used in algebra, number theory and algebraic geometry. Moduli spaces classify and parametrize objects, making them central to both understanding the original objects and constructing new spaces. Brauer groups and moduli spaces are classical tools, which remain highly relevant and in fact form a very active area in modern research.

This workshop will bring together researchers with different backgrounds whose work involves K3 surfaces, Brauer classes and moduli spaces. We will focus on recent developments and future prospects, centred around the following classical and upcoming themes:

• Brauer groups of K3 surfaces, over fields and in families;
• Moduli spaces of Brauer twisted sheaves and hyperkähler varieties;
• Derived categories of varieties over arbitrary fields and rational points.

The workshop aims to offer a platform to foster collaboration, to showcase different perspectives on the topics of the workshop and to give early career researchers a chance to learn from the experts in the respective fields.