Commutative Algebra Seminar
Matteo Varbaro
University of Genoa
The geometry of quasi-Gorenstein rings
Abstract: Quasi-Gorenstein rings are, roughly speaking,"Gorenstein rings which possibly fail the Cohen-Macaulay property”. They are much more than Gorenstein rings, and in some situation they are more natural: For example, the Stanley-Reisner ring of an orientable manifold is quasi-Gorenstein, while the only orientable manifolds whose Stanley-Reisner ring is Gorenstein are (homology) spheres. In this talk I will discuss some features of quasi-Gorenstein rings, a liaison theory by quasi-Gorenstein ideals generalizing the classical one by Gorenstein ideals, and two applications of the latter: one on the combinatorics of the minimal prime ideals of a quasi-Gorenstein ring, and the other one explaining a connection with the topological Lefshetz duality. All this is based on a joint work with Hongmiao Yu.
Tuesday November 29, 2022 at 11:00 AM in Zoom