Seminario del 2022

Marzo
08
2022
Jerzy Weyman (Jagiellonian University)
On the structure of Gorenstein ideals of codimension 4
nell'ambito della serie: SEMINARIO DI ALGEBRA E GEOMETRIA
algebra e geometria
I will discuss the new approach to Gorenstein ideals of codimension 4, with n generators. This allows us to construct (by a single calculation, starting from scratch) the examples of such ideals with 4<= n<= 8 generators. For n=4,5,6 they give generic models of resolutions of ideals of that type (in the sense that each such resolution comens from the generic model). We conjecture that for n=7,8 these resolutions are also generic models. The main idea is a construction of a certain generic ring which has unexpected symmetry of the type E_n. For n >= 9 such construction is not possible which indicates that the classification is much more difficult.
organizzato da: Jacopo Gandini e Lars Halle
nell'ambito del Progetto P.R.I.N. PRIN 2017 MIGLIORINI del prof. Luca Migliorini

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