|Thursday 24 May 2018|
|Events for day: Thursday 14 December 2017|
| 11:00 - 13:00 Lecture|
DG Homological Algebra and Vanishing of (Co)homology over Local Rings
The use of techniques from differential graded (DG) homological algebra
was established by Avramov, Buchsbaum, Eisenbud, Halperin, Kustin, Miller,
and Weyman in commutative algebra, for instance, via DG algebra structures on
Koszul complexes and free resolutions. It has been shown recently that these
techniques can be applied to solve non-trivial problems in commutative algebra.
In this talk, we will discuss the following major problems:
Auslander-Reiten Conjecture (1975). If M is a finitely generated module over a
local ring R with Ext^i_R(M, M ? R) = 0 for all i large enough, ...