| Thursday 2 May 2024 | |
| Events for day: Thursday 20 October 2022 |
| 11:00 - 13:00 Commutative Algebra Webinar Free Resolutions over generic artinian gornestein graded algebras of socle degree 3 School MATHEMATICS Speaker: Rasoul Ahangari, IPM Title: Free REsolutions over generic artinian gornestein graded algebras of socle degree 3 Abstract. An Artinian Gorenstein graded algebra R (over a field) with socle in degree 3 is in correspondence with a cubic form F via the so-called Macaulay inverse system. If F is a generic cubic, then we say that R is generic. In this talk, we study free resolutions over R by studying its Koszul dual which is a non- commutative algebra. We prove that if R is generic, then any finitely generated R-module annihilated by at least two generic linear forms, is a Koszul module. This talk is based on a joint work with ... |