Back to Commutative Algebra Seminar: Fall 2023
Commutative Algebra Seminar
Date: Friday, Nov 3, 2023
Time: 2:00PM - 3:00PM
Location: LCB 323
Janina Letz
University Bielefeld
Title |
Koszul homomorphisms and universal resolutions in local algebra |
Abstract |
Abstract: I will define a Koszul property for a homomorphism of local rings $\varphi \colon Q \to R$. Koszul homomorphisms have good homological properties. Using $\mathrm{A}_\infty$-structures one can construct universal free resolutions of $R$-modules from free resolutions over $Q$, generalizing the classical construction by Priddy. This recovers the resolutions of Shamash and Eisenbund for complete intersection homomorphisms and the resolutions of Iyengar and Burke for Golod homomorphisms. This is based on work with Ben Briggs, James Cameron and Josh Pollitz. |
Commutative Algebra