Till innehåll på sidan

Mats Boij: Lefschetz Properties

Tid: On 2017-04-26 kl 13.15 - 14.15

Plats: Room 3418, KTH

Medverkande: Mats Boij, KTH

Exportera till kalender

The study of Lefschetz properties of artinian algebras has its origin in the Hard Lefschetz Theorem and was encouraged by Stanley’s use of it in the proof of the g-Conjecture for simplicial polytopes. The Weak Lefschetz Property means that multiplication by a general linear form has maximal rank in each degree and the Strong Lefschetz Property that the same also holds for all powers of the form. Despite the fact that most artinian algebras have these properties it is surprisingly hard to prove general results in this direction. I will discuss some recent work together with Migliore, Miró-Roig and Nagel in this area.

Tillhör: Stockholms Matematikcentrum
Senast ändrad: 2017-04-21