20 sep 2018 -- 14:30
Aula di Consiglio, Dip. Matematica, Università "La Sapienza", Roma
The hard Lefschetz theorem, though only a basic algebraic concept in itself, is to this day living in a more rigid environment of positivity. Of course, once it has been established to hold with respect to some non-empty ample cone, the hard Lefschetz holds for generic forms as well. But is there a way to prove a 'generic' Lefschetz theorem? I will discuss the why (mostly combinatorial problems) and how.