Back to Commutative Algebra Seminar: Fall 2019
Commutative Algebra Seminar
Date: Tuesday, Oct 15, 2019
Time: 2:00PM - 3:00PM
Location: LCB 219
Hugh Geller
Clemson University
Title |
DG-Algebra resolutions for products of ideals |
Abstract |
Resolutions possessing DG-algebra structures are powerful tools. In 2019, Avramov, Iyengar, Nasseh, and Sather-Wagstaff show how the existence of a DG-algebra structure on a minimal resolution can be used to prove a strong Tor-rigidity result. We investigate when minimal resolutions do in fact possess DG algebra structures. In particular, we give an explicit construction of DG algebra resolutions for certain products of ideals and give sufficient conditions for this construction to be minimal. |
Commutative Algebra