Piotr Pokora

Title: Klein's arrangements of curves

Abstract: 
In 1879, F. Klein discovered a remarkable arrangement of 21 lines in the complex projective plane. 
It turns out that this arrangement appears somehow unexpectedly in the context of the containment 
problem, the freeness of line arrangements, and many more. The main goal of my talk is to show that 
there is a natural way to produce new Klein's arrangement of curves. The first step in our construction 
leads to an arrangement of 21 lines and 21 conics, and we focus on this particular case emphasizing its 
possible applications in different areas.