Algèbre, géométrie, topologie

Odd and even topological line arrangements

par Marco Golla (Nantes)

Europe/Paris
Description

Hirzebruch proved a beautiful inequality for complex line
arrangements in CP^2, giving strong bounds on the their combinatorics.
In the quest for a topological proof of this inequality, Paolo Aceto and
I studied odd and even line arrangements (which I will define in the
talk). We proved Hirzebruch-like inequalities for these arrangements,
and drew some corollaries about configurations of lines. Time and
audience permitting, I will discuss some more speculative (topological)
ideas.