When?

Start: Tuesday, 05/30/2023, 9 am
End: Friday, 06/02/2023, 6 pm

Where?

RWTH Aachen University:
Pontdriesch 14/16

Organizers

Simon Brandhorst (Saarbrücken)
Gabriele Nebe (Aachen)

Background Material

Lecture Notes from the course on algebraic number theory (Nebe)
For a more elaborate version we recommend the book by J. Neukirch on Algebraische Zahlentheorie.

Lecture Notes from the course on quadratic forms (Nebe)
We recommend the book by M. Kneser on Quadratische Formen.

As a preparation for the algebraic geometric talks read Wolfgang Ebeling Lattices and Codes Chapter 1 which treats the classification of root lattices. This is also useful if you want to have examples for integral quadratic forms and thus lattices over the Dedekind domain of rational integers.

The lectures on automorphisms of K3 surfaces follow the survey article Shigeyuki Kondō - A survey of finite groups of symplectic automorphisms of K3 surfaces, 2018 J. Phys. A: Math. Theor. 51 053003
For further reading on K3 surfaces I recommend the introduction/survey Harder, A., Thompson, A. (2015). The Geometry and Moduli of K3 Surfaces.
In: Laza, R., Schütt, M., Yui, N. (eds) Calabi-Yau Varieties: Arithmetic, Geometry and Physics. Fields Institute Monographs, vol 34. Springer, New York, NY.