Minicourse Finite Geometries (from the definitions to some applications) - Syllabus

1. Finite affine and projective planes and spaces. Definitions, examples and basic properties.

2. Collineations and polarities. Conics and quadrics.

3. Arcs, ovals and caps. Generalized quadrangles.

4. How can we organize a soccer championship?

5. Turán-type problems and finite geometries.

6. Moore graphs and cages arising from finite incidence structures.

Lecturer:

György Kiss (Eötvös Loránd University, Hungary)

Lecture notes