Problems on Artinian algebras and Jordan type

Luogo: Dipartimento di Matematica, via Sommarive, 14 - Povo (TN) - Sala Seminari "-1"
Ore: 11:00

Relatore:

• Anthony Iarrobino (Northeastern University)

Abstract:
The Jordan type  P_x of the multiplication map m_x by a nilpotent element x in an Artinian algebra A is the partition giving the sizes in the Jordan block decomposition for m_x.  It in general gives more information than whether x is weak or strong Lefschetz. I will discuss the set of Jordan types possible for a given Artin algebra A, the relation of Jordan type to the Hilbert function of A, and the loci of elements x for which P_x is fixed, as invariants of A.  (reference:  arXiv:1802.07383 with Pedro Marques and Chris McDaniel).

Referente: Alessandra Bernardi